Persons: Deza, Michel-Marie

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Deza, Michel-Marie
(1939–2016)

Total publications:	229 (228)
in MathSciNet:	201 (201)
in zbMATH:	174 (174)
in Web of Science:	80 (80)
in Scopus:	120 (120)
Cited articles:	127
Citations:	2455
Presentations:	1

Number of views:
This page:	5244
Abstract pages:	9075
Full texts:	4331
References:	1001

Professor

Doctor of physico-mathematical sciences

Birth date:

27.04.1939

Website:

https://www.liga.ens.fr/~deza; http://en.wikipedia.org/wiki/Michel_Deza

Keywords:

distance, metric, polyhedron, lattice.

UDC:

514.17, 519.17

Subject:

Geometry, Combinatorics, Math. Chemistry

Main publications:

M. M. Deza, M. Laurent, Geometry of cuts and metrics, Algorithms and Combinatorics, 15, Springer-Verlag, Berlin, 1997, xii+587 pp.
M. Deza, M. Dutour Sikirić, Geometry of chemical graphs: polycycles and two-faced maps, Encyclopedia of Mathematics and its Applications, 119, Cambridge University Press, Cambridge, 2008, x+306 pp.
M. M. Deza, E. Deza, Encyclopedia of distances, Springer-Verlag, Berlin, 2009, xiv+590 pp.

https://www.mathnet.ru/eng/person9092

https://scholar.google.com/citations?user=O5m7WK8AAAAJ&hl=en

https://zbmath.org/authors/ai:deza.michel-marie

https://mathscinet.ams.org/mathscinet/MRAuthorID/57370

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	M. Deza, I. G. Rosenberg (ed.), Combinatorics 79. Part I, Annals of Discrete Math., 8, North Holland Publ., Amsterdam–New York

2015
2.	M. M. Deza, E. I. Deza, M. Dutour Sikirić, “Polyhedral structures associated with quasi-metrics”, Chebyshevskii Sb., 16:2 (2015), 79–92

2013
3.	M. Deza, M. Dutour Sikirić, M. I. Shtogrin, “Fullerenes and disk-fullerenes”, Russian Math. Surveys, 68:4 (2013), 665–720
4.	M. Deza, E. Deza, “Some remarks on the evaluation of scientific publications”, UBS, 44 (2013), 362–365
5.	M. Deza, P. Ossona de Mendez, P. Rosenstiehl, “Announcement from the editors”, European J. Combin., 34:8 (2013), vii
6.	P. Chebotarev, M. Deza, “A topological interpretation of the walk distances”, Distance geometry, Springer, New York, 2013, 121–135	1 ^[x]
7.	S. Debroni, E. Delisle, W. Myrvold, A. Sethi, J. Whitney, J. Woodcock, P. W. Fowler, B. de La Vaissière, M. Deza, “Maximum independent sets of the 120-cell and other regular polytopes”, Ars Math. Contemp., 6:2 (2013), 197–210	1 ^[x]
8.	M. M. Deza, E. Deza, Encyclopedia of distances, Ed. 2, Springer, Heidelberg, 2013 , xviii+650 pp.
9.	M. E. Deza, M. Dutour Sikiric, M. Shtogrin, “Fullerene-like Spheres with Faces of Negative Curvature”, Diamond D5 and Related Nanostructures, Carbon Materials: Chemistry and Physics, 6, eds. M. V. Diudea, C. L. Nagy, Springer, 2013, 251–274 , arXiv: 1112.3320	5 ^[x]
10.	M. Dezy, M. D. Sikirich, Geometriya khimicheskikh grafov: politsikly i bipolitsikly, IIKI, M.–Izhevsk, 2013
11.	M. Deza, M. Dutour Sikirić, M. I. Shtogrin, “Letter to the Editorial Board”, Uspekhi Mat. Nauk, 68:6(414) (2013), 192

2012
12.	M. Deza, M. Dutour Sikirić, “Zigzag and central circuit structure of $(\{1,2,3\},6)$-spheres”, Taiwanese J. Math., 16:3 (2012), 913–940	4 ^[x]
13.	M. Deza, E. Deza, J. Vidali, “Cones of weighted and partial metrics”, Proceedings of the International Conference on Algebra 2010, World Sci. Publ., Hackensack, NJ, 2012, 177–197
14.	E. Deza, M. M. Deza, Figurate numbers, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2012 , xviii+456 pp.
15.	M. E. Deza, M. Dutour Sikiric, “Space fullerenes: computer search for new Frank-Kasper structures II”, Structural Chemistry, 23:4 (2012), 1103–1115	12 ^[x]
16.	M. E. Deza, V. Grishukhin, E. Deza, “Cones of weighted quasi-metrics, weighted quasi-hypermetrics and of oriented cuts”, Mathematics of Distances and Applications, Sofia, 2012, 31–53 , arXiv: 1201.1099v1
17.	M. E. Deza, P. Chebotarev, “Protometrics”, Ivo G. Rosenberg: A commemoration of his outstanding research contributions and friendship, IEEE Computer Soceity, Victoria, BC, 2012, 79–82 , arXiv: 1112.4829

2011
18.	M. Deza, E. Deza, “Cones of partial metrics”, Contrib. Discrete Math., 6:1 (2011), 26–47
19.	M. E. Deza, M. Dutour, “$4$-regular and self-dual analogs of fullerenes”, Chapter, Mathematics and Topology of Fullerenes, eds. O. Ori, A. Graovac, F. Cataldo, Springer, 2011, 103–116 , arXiv: 0910.5323
20.	M. E. Deza, “Note on Petri duals and hypercube embeddings of semiregular polyhedra”, Symmetry, 22:1-2 (2011), 263–267

2010
21.	M. M. Deza, M. Laurent, Geometry of cuts and metrics, First softcover printing of the 1997 original [MR1460488], Algorithms and Combinatorics, 15, Springer, Heidelberg, 2010 , xii+587 pp.	395 ^[x]
22.	M. Deza, “Some problems, I care most”, European J. Combin., 31:2 (2010), 649–675
23.	M. E. Deza, M. Dutour Sikiric, O. Delgado-Friedrichs, “Space fullerenes: computer search for new Frank–Kasper structures”, Acta Crystallographica, A66:5 (2010), 602–615

2009
24.	M. Deza, M. I. Shtogrin, “New examples of generalized fullerenes”, Russian Math. Surveys, 64:1 (2009), 139–141
25.	M. M. Deza, E. Deza, Encyclopedia of distances, Springer-Verlag, Berlin, 2009 , xiv+590 pp.
26.	M. Deza, M. D. Sikirić, P. W. Fowler, “The symmetries of cubic polyhedral graphs with face size no larger than 6”, MATCH Commun. Math. Comput. Chem., 61:3 (2009), 589–602
27.	M. Deza, S. Shpectorov, “Polyhexes that are $\ell_1$ graphs”, European J. Combin., 30:5 (2009), 1090–1100	5 ^[x]
28.	M. E. Deza, M. Dutour, M. Shtogrin), “Elementary elliptic $(R,q)$-polycycles”, Chapter, Analysis of Complex Networks: From Biology to Linguistics, eds. M. Dehmer, F. Emmert-Streib, Wiley, 2009, 351–376

2008
29.	M. Deza, M. Dutour Sikirić, S. Shpectorov, “Hypercube embeddings of Wythoffians”, Ars Math. Contemp., 1:1 (2008), 99–111	3 ^[x]
30.	M. Deza, M. Dutour Sikirić, Geometry of chemical graphs: polycycles and two-faced maps, Encyclopedia of Mathematics and its Applications, 119, Cambridge University Press, Cambridge, 2008 , x+306 pp.
31.	M. Deza, V. P. Grishukhin, “More about the 52 four-dimensional parallelotopes”, Taiwanese J. Math., 12:4 (2008), 901–916	4 ^[x]
32.	M. Dutour Sikirić, M. Deza, M. Shtogrin, “Filling of a given boundary by $p$-gons and related problems”, Discrete Appl. Math., 156:9 (2008), 1518–1535	4 ^[x]
33.	M. M. Deza, V. Grishukhin, M. Shtogrin, Izometricheskie poliedralnye podgrafy v giperkubakh i kubicheskikh reshetkakh, MTsNMO, M., 2008
34.	E. I. Deza, M. M. Deza, Entsiklopedicheskii slovar rasstoyanii, Nauka, M., 2008

2007
35.	E. Lijnen, A. Ceulemans, P. W. Fowler, M. Deza, “The undecakisicosahedral group and a 3-regular carbon network of genus 26”, J. Math. Chem., 42:3 (2007), 617–644	3 ^[x]

2006
36.	M. Deza, S. V. Shpektorov, M. I. Shtogrin, “Non-extendible finite polycycles”, Izv. Math., 70:1 (2006), 1–18
37.	M. Deza, M. I. Shtogrin, “Types and boundary uniqueness of polypentagons”, Russian Math. Surveys, 61:6 (2006), 1170–1172
38.	M. E. Deza, E. Deza, Dictionary of Distances, Elsevier, 2006 , 400 pp.
39.	M. E. Deza, P. J. Cameron), “Designs and Matroids”, Chapter VII.10, Handbook of Combinatorial Designs, Discrete Mathematics and its Applications, 42, 2nd edition, eds. C. J. Colbourn, J. Dinitz, Chapman and Hall/CRC, 2006, 847–851

2005
40.	M. Deza, M. I. Shtogrin, “A metric of constant curvature on polycycles”, Math. Notes, 78:2 (2005), 204–212
41.	M. Deza, M. Dutour, M. I. Shtogrin, “Elliptic polycycles with holes”, Russian Math. Surveys, 60:2 (2005), 349–351
42.	M. Deza, M. Dutour, “Zigzag structure of complexes”, Southeast Asian Bull. Math., 29:2 (2005), 301–320
43.	M. Deza, M. Dutour-Sikiric, S. Shpectorov, “Graphs $4_n$ that are isometrically embeddable in hypercubes”, Southeast Asian Bull. Math., 29:3 (2005), 469–484
44.	M. Deza, M. Dutour, “Zigzag structures of simple two-faced polyhedra”, Combin. Probab. Comput., 14:1-2 (2005), 31–57	18 ^[x]
45.	M. Deza-M., I. G. Rosenberg, “Small cones of $m$-hemimetrics”, Discrete Math., 291:1-3 (2005), 81–97	5 ^[x]

2004
46.	M. Deza, M. I. Shtogrin, “Archimedean polycycles”, Russian Math. Surveys, 59:3 (2004), 564–566
47.	M. Deza, V. Grishukhin, “Voronoĭ's conjecture and space tiling zonotopes”, Mathematika, 51:1-2 (2004), 1–10 (2005)	8 ^[x]
48.	M. Deza, M. Dutour, M. Shtogrin, “On simplicial and cubical complexes with short links”, Israel J. Math., 144 (2004), 109–124	3 ^[x]
49.	M. Deza, M. Dutour, H. Maehara, “On volume-measure as hemi-metrics”, Ryukyu Math. J., 17 (2004), 1–9
50.	M. Deza, V. Grishukhin, “Properties of parallelotopes equivalent to Voronoi's conjecture”, European J. Combin., 25:4 (2004), 517–533	7 ^[x]
51.	M. Deza, V. Grishukhin, “Nonrigidity degree of root lattices and their duals”, Geom. Dedicata, 104 (2004), 15–24	7 ^[x]
52.	M. Deza, V. Grishukhin, M. Shtogrin, Scale-isometric polytopal graphs in hypercubes and cubic lattices, Polytopes in hypercubes and $\Bbb Z_n$, Imperial College Press, London, 2004 , x+175 pp.
53.	M. Dutour, M. Deza, “Goldberg-Coxeter construction for 3- and 4-valent plane graphs”, Electron. J. Combin., 11:1 (2004), Research Paper 20, 49	18 ^[x]
54.	M. Deza, M. Dutour, P. W. Fowler, “Zigzags, Railroads, and Knots in Fullerenes”, Journal of Chemical Information and Computer Science, 44 (2004), 1282–1293	19 ^[x]

2003
55.	M. Deza, M. Dutour, M. Shtogrin, “4-valent plane graphs with 2-, 3- and 4-gonal faces”, Advances in algebra, World Sci. Publ., River Edge, NJ, 2003, 73–97	11 ^[x]
56.	M. Deza, M. Dutour, “The hypermetric cone on seven vertices”, Experiment. Math., 12:4 (2003), 433–440	3 ^[x]
57.	A. Andoni, M. Deza, A. Gupta, P. Indyk, S. Raskhodnikova, “Lower bounds for embedding edit distance into normed spaces”, Algorithms (2003, Baltimore, MD), ACM, New York, 2003, 523–526
58.	M. Deza, P. W. Fowler, M. Shtogrin, “Version of Zones and Petri circuits of icosahedral fullerenes and icosadeltahedra”, Journal of Chemical Information and Computer Science, 43 (2003), 595–599	3 ^[x]
59.	M. Deza, M. Dutour, “Data mining for cones of metrics, hemi-imetrics and super-metrics”, Annales of European Academy of Sciences, 2003, 141–162 , arXiv: 0201011

2002
60.	M. Deza, M. I. Shtogrin, “Mosaics and their isometric embeddings”, Izv. Math., 66:3 (2002), 443–462
61.	M. Deza, M. I. Shtogrin, “A criterion for the embeddability of $(r,q)$-polycycles”, Russian Math. Surveys, 57:3 (2002), 589–591
62.	M. Deza, M. I. Shtogrin, “Extremal and Nonextendible Polycycles”, Proc. Steklov Inst. Math., 239 (2002), 117–135
63.	M. Deza, T. Huang, “A generalization of strongly regular graphs”, Southeast Asian Bull. Math., 26:2 (2002), 193–201	1 ^[x]
64.	M. Deza, M. Dutour, E. Panteleeva, “Small cones of oriented semi-metrics”, Amer. J. Math. Management Sci., Forum for Interdisciplinary Mathematics Proceedings on Statistics, Combinatorics & Related Areas (Bombay, 2000), 22, no. 3-4, 2002, 199–225
65.	M. Deza, “Face-regular polyhedra and tilings with two combinatorial types of faces”, Codes and designs (2000, Columbus, OH), Ohio State Univ. Math. Res. Inst. Publ., 10, de Gruyter, Berlin, 2002, 49–71
66.	M. Deza, V. Grishukhin, “Rank 1 forms, closed zones and laminae”, J. Théor. Nombres Bordeaux, 14:1 (2002), 103–112	4 ^[x]
67.	M. Deza, T. Huang, K. Lih-Wei, “Central circuit coverings of octahedrites and medial polyhedra”, J. Math. Res. Exposition, 22:1 (2002), 49–65
68.	M. Deza, M. Shtogrin, “Isometric embedding of mosaics into cubic lattices”, Algebraic and topological methods in graph theory (Lake Bled, 1999), Discrete Math., 244:1-3 (2002), 43–53	6 ^[x]
69.	M. Deza, V. Grishukhin, “Maps of $p$-gons with a ring of $q$-gons”, Bull. Inst. Combin. Appl., 34 (2002), 99–110
70.	M. Deza, M. Shtogrin, “Clusters of cycles”, J. Geom. Phys., 40:3-4 (2002), 302–319	6 ^[x]

2001
71.	M. Deza, D. V. Pasechnik, “On equicut graphs”, Ivo G. Rosenberg's 65th birthday, Part 2, Mult.-Valued Log., 7:5-6 (2001), 363–377
72.	M. Deza, V. Grishukhin, “Face-regular bifaced polyhedra”, Special issue on design combinatorics: in honor of S. S. Shrikhande, J. Statist. Plann. Inference, 95:1-2 (2001), 175–195	2 ^[x]
73.	M. M. Deza, M. Loran, Geometriya razrezov i metrik, MTsNMO, M., 2001
74.	M. Deza, P. W. Fowler, V. P. Grishukhin, “Allowed boundary sequences for fused polycyclic patches and related algorithmic problems”, Journal of Chemical Information and Computer Science, 41:2 (2001), 300–308	9 ^[x]
75.	M. Deza, P. W. Fowler, B. de La Vaissiere, “Addition patterns, codes and contact graphs for fullerene derivatives”, Journal of Molecular Modelling and Simulation, 19:2, Special Issue in honor of E. Osawa (2001), 199–204
76.	M. Deza, P. W. Fowler, B. de la Vaissiere, “Codes in Archimedean and Catalan polyhedra”, Journal of Chemical Information and Computer Science, 41 (2001), 376–386	14 ^[x]

2000
77.	M. Deza, M. I. Shtogrin, “Embeddings of chemical graphs in hypercubes”, Math. Notes, 68:3 (2000), 295–305
78.	M. Deza, M. I. Shtogrin, “Polycycles: symmetry and embeddability”, Russian Math. Surveys, 55:6 (2000), 1146–1147
79.	M. Deza, M. I. Shtogrin, “Infinite primitive polycycles”, Russian Math. Surveys, 55:1 (2000), 169–170
80.	M. Deza, M. Shtogrin, “Octahedrites”, Polyhedra, Symmetry Cult. Sci., 11:1-4 (2000), 27–64
81.	M. Deza, V. Grishukhin, “Hypermetric two-distance spaces”, Recent advances in interdisciplinary mathematics (Portland, ME, 1997), J. Combin. Inform. System Sci., 25:1-4 (2000), 89–132
82.	M. Deza, M. Shtogrin, “Embedding the graphs of regular tilings and star-honeycombs into the graphs of hypercubes and cubic lattices”, Arrangements—Tokyo 1998, Adv. Stud. Pure Math., 27, Kinokuniya, Tokyo, 2000, 73–92
83.	M. Deza, M. Shtogrin, “Uniform partitions of 3-space, their relatives and embedding”, Discrete metric spaces (Marseille, 1998), European J. Combin., 21:6 (2000), 807–814	7 ^[x]
84.	M. Deza-M., I. G. Rosenberg, “$n$-semimetrics”, Discrete metric spaces (Marseille, 1998), European J. Combin., 21:6 (2000), 797–806	14 ^[x]
85.	M. Deza, E. Panteleeva, “Quasi-semi-metrics, oriented multi-cuts and related polyhedra”, Discrete metric spaces (Marseille, 1998), European J. Combin., 21:6 (2000), 777–795	10 ^[x]
86.	O. Delgado Friedrichs, M. Deza, “More icosahedral fulleroids”, Discrete mathematical chemistry (1998, New Brunswick, NJ), DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 51, Amer. Math. Soc., Providence, RI, 2000, 97–115	5 ^[x]
87.	M. Deza, G. Brinkmann, “Tables of face-regular polyhedra”, Report LIENS 98-13, Ecole Normale Superieure Paris (1998)., Journal of Chemical Information and Computer Science, 40:3 (2000), 530–541	8 ^[x]
88.	M. Deza, P. W. Fowler, A. Rassat, K. M. Rogers, “Fullerenes as tilings of surfaces”, Report LIENS 99-4, Ecole Normale Superieure Paris (1999), Journal of Chemical Information and Computer Science, 40:3 (2000), 550–558	62 ^[x]
89.	M. Deza, P. W. Fowler, M. Shtogrin, K. Vietze, “Pentaheptite modifications of the graphite sheet”, Journal of Chemical Information and Computer Science, 40:6 (2000), 1325–1332	71 ^[x]

1999
90.	M. Deza, M. I. Shtogrin, “Primitive polycycles and helicenes”, Russian Math. Surveys, 54:6 (1999), 1238–1239
91.	M. Deza, M. Shtogrin, “Three-, four-, and five-dimensional fullerenes”, Southeast Asian Bull. Math., 23:1 (1999), 9–18
92.	M. Deza, V. Grishukhin, “$l_1$-embeddable polyhedra”, Algebras and combinatorics (1997, Hong Kong), Springer, Singapore, 1999, 189–210
93.	M. Deza, V. P. Grishukhin, “Hexagonal sequences”, General Algebra and Discrete Mathematics, Proc. of the Conference, Potsdam, 1998, eds. K. Denecke, H. J. Vogel, Shaker-Verlag, Aachen, 1999, 47–68 http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.5923

1998
94.	M. Deza, T. Huang, “Metrics on permutations, a survey”, J. N. Srivastava: felicitation volume, J. Combin. Inform. System Sci., 23:1-4 (1998), 173–185
95.	A. Deza, M. Deza, V. Grishukhin, “Fullerenes and coordination polyhedra versus half-cube embeddings”, Discrete metric spaces (Villeurbanne, 1996), Discrete Math., 192:1-3 (1998), 41–80	30 ^[x]
96.	M. Deza, V. P. Grishukhin, “Odd systems of vectors and related lattices”, Algebra and combinatorics: interactions and applications (Königstein, 1994), Acta Appl. Math., 52:1-3 (1998), 31–47
97.	M. Deza, V. Grishukhin, “Once more about $80$ Steiner triple systems on $15$ points”, R. C. Bose Memorial Conference (Fort Collins, CO, 1995), J. Statist. Plann. Inference, 72:1-2 (1998), 165–184
98.	M. Deza, V. P. Grishukhin, “Erratum to: “Bounds on the covering radius of a lattice” [Mathematika 43 (1996), no. 1, 159–164; MR1401714 (98b:11074)]”, Mathematika, 45:1 (1998), 209

1997
99.	M. Deza, M. I. Shtogrin, “The embedding of graphs in hypercubes and cubic lattices”, Russian Math. Surveys, 52:6 (1997), 1292–1293
100.	V. Chepoi, M. Deza, V. Grishukhin, “Clin d'oeil on $L_1$-embeddable planar graphs”, Discrete Appl. Math., 80:1 (1997), 3–19	32 ^[x]
101.	M. Deza, V. Grishukhin, “Lattice points of cut cones”, Combinatorics, geometry and probability (1993, Cambridge), Cambridge Univ. Press, Cambridge, 1997, 193–216
102.	M. Deza, V. P. Grishukhin, “A zoo of $l_1$-embeddable polytopal graphs”, Bull. Inst. Math. Acad. Sinica, 25:3 (1997), 181–231
103.	M. M. Deza, M. Laurent, Geometry of cuts and metrics, Algorithms and Combinatorics, 15, Springer-Verlag, Berlin, 1997 , xii+587 pp.	395 ^[x]
104.	M. Deza, V. Grishukhin, “The skeleton of the $120$-cell is not $5$-gonal”, Graphs and combinatorics (Marseille, 1995), Discrete Math., 165/166 (1997), 205–210	1 ^[x]

1996
105.	M. Deza, M. I. Shtogrin, “Isometric embeddings of semiregular polyhedra, tilings and their duals in hypercubes and cubic lattices”, Russian Math. Surveys, 51:6 (1996), 1193–1194
106.	A. Deza, M. Deza, K. Fukuda, “On skeletons, diameters and volumes of metric polyhedra”, Combinatorics and computer science (1995, Brest), Lecture Notes in Comput. Sci., 1120, Springer, Berlin, 1996, 112–128	8 ^[x]
107.	M. Deza, T. Huang, “Complementary $l_1$-graphs and related combinatorial structures”, Combinatorics and computer science (1995, Brest), Lecture Notes in Comput. Sci., 1120, Springer, Berlin, 1996, 74–90
108.	M. Deza, V. Grishukhin, “Bounds on the covering radius of a lattice”, Mathematika, 43:1 (1996), 159–164
109.	M. Deza, T. Huang, “$l_1$-embeddability of some block graphs and cycloids”, Bull. Inst. Math. Acad. Sinica, 24:2 (1996), 87–102
110.	M. Deza, S. Shpectorov, “Recognition of the $l_1$-graphs with complexity $O(nm)$, or Football in a hypercube”, Discrete metric spaces (Bielefeld, 1994), European J. Combin., 17:2-3 (1996), 279–289	16 ^[x]
111.	M. Deza, J. Tuma, “A note on $l_1$-rigid planar graphs”, Discrete metric spaces (Bielefeld, 1994), European J. Combin., 17:2-3 (1996), 157–160	8 ^[x]
112.	M. Deza, V. P. Grishukhin, “Cut lattices and equiangular lines”, Discrete metric spaces (Bielefeld, 1994), European J. Combin., 17:2-3 (1996), 143–156	1 ^[x]

1995
113.	A. Deza, M. Deza, “The combinatorial structure of small cut and metric polytopes”, Combinatorics and graph theory '95, Vol. 1 (Hefei), World Sci. Publ., River Edge, NJ, 1995, 70–88
114.	A. Deza, M. Deza, “Skeletons of some relatives of the $n$-cube”, Optimization theory and its applications in mathematical systems (Japanese) (Kyoto, 1994), Sūrikaisekikenkyūsho Kōkyūroku, 1995, no. 899, 114–120
115.	M. Deza, V. Grishukhin, “Delaunay polytopes of cut lattices”, Linear Algebra Appl., 226/228 (1995), 667–685	4 ^[x]
116.	M. Deza, V. P. Grishukhin, M. Laurent, “Hypermetrics in geometry of numbers”, Combinatorial optimization (1992–1993, New Brunswick, NJ), DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 20, Amer. Math. Soc., Providence, RI, 1995, 1–109	2 ^[x]
117.	M. Deza, M. Laurent, “Hypercube embedding of generalized bipartite metrics”, Special Issue: Fifth Franco-Japanese Days (Kyoto, 1992), Discrete Appl. Math., 56:2-3 (1995), 215–230	1 ^[x]
118.	M. Deza, V. P. Grishukhin, “$L$-polytopes and equiangular lines”, Special Issue: Fifth Franco-Japanese Days (Kyoto, 1992), Discrete Appl. Math., 56:2-3 (1995), 181–214	3 ^[x]
119.	M. Deza, S. Onn, “Lattice-free polytopes and their diameter”, Discrete Comput. Geom., 13:1 (1995), 59–75	6 ^[x]

1994
120.	M. Deza, M. Laurent, “Applications of cut polyhedra. I, II”, J. Comput. Appl. Math., 55:2 (1994), 191–216, 217–247	31 ^[x]
121.	A. Deza, M. Deza, “The ridge graph of the metric polytope and some relatives”, Polytopes: abstract, convex and computational (Scarborough, ON, 1993), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 440, Kluwer Acad. Publ., Dordrecht, 1994, 359–372
122.	A. Deza, M. Deza, “On the skeleton of the dual cut polytope”, Jerusalem combinatorics '93, Contemp. Math., 178, Amer. Math. Soc., Providence, RI, 1994, 101–111	2 ^[x]
123.	M. Deza, H. Maehara, “A few applications of negative-type inequalities”, Graphs Combin., 10:3 (1994), 255–262	6 ^[x]
124.	M. Deza, V. Grishukhin, “Lattice points of cut cones”, Combin. Probab. Comput., 3:2 (1994), 191–214	2 ^[x]
125.	C. De Simone, M. Deza, M. Laurent, “Collapsing and lifting for the cut cone”, Graph theory and applications (Hakone, 1990), Discrete Math., 127:1-3 (1994), 105–130	9 ^[x]
126.	M. Deza, M. Laurent, “$l_1$-rigid graphs”, J. Algebraic Combin., 3:2 (1994), 153–175	15 ^[x]
127.	M. Deza, H. Maehara, “Projecting a simplex onto another one”, Algebraic combinatorics (Vladimir, 1991), European J. Combin., 15:1 (1994), 13–16	1 ^[x]

1993
128.	M. Deza, M. Laurent, “Variety of hypercube embeddings of the equidistant metric and designs”, J. Combin. Inform. System Sci., 18:3-4 (1993), 289–315
129.	M. Deza, V. P. Grishukhin, M. Laurent, “The hypermetric cone is polyhedral”, Combinatorica, 13:4 (1993), 397–411	23 ^[x]
130.	M. Deza, P. Grishukhin, “Hypermetric graphs”, Quart. J. Math. Oxford Ser. (2), 44:176 (1993), 399–433	15 ^[x]
131.	M. Deza, M. Laurent, “The even and odd cut polytopes”, ARIDAM IV and V (New Brunswick, NJ, 1988/1989), Discrete Math., 119:1-3 (1993), 49–66	8 ^[x]
132.	M. Deza, K. Fukuda, M. Laurent, “The inequicut cone”, ARIDAM IV and V (New Brunswick, NJ, 1988/1989), Discrete Math., 119:1-3 (1993), 21–48	10 ^[x]
133.	M. Deza, M. Laurent, “The cut cone: simplicial faces and linear dependencies”, Bull. Inst. Math. Acad. Sinica, 21:2 (1993), 143–182
134.	M. Deza, M. Laurent, S. Poljak, “The cut cone. III. On the role of triangle facets”, Graphs Combin., 9:2 (1993), 135–152	4 ^[x]

1992
135.	M. Deza, V. P. Grishukhin, M. Laurent, “Extreme hypermetrics and $L$-polytopes”, Sets, graphs and numbers (1991, Budapest), Colloq. Math. Soc. János Bolyai, 60, North-Holland, Amsterdam, 1992, 157–209
136.	M. Deza, M. Laurent, “New results on facets of the cut cone”, J. Combin. Inform. System Sci., 17:1-2 (1992), 19–38
137.	M. Deza, M. Grötschel, M. Laurent, “Clique-web facets for multicut polytopes”, Math. Oper. Res., 17:4 (1992), 981–1000	33 ^[x]
138.	M. Deza, M. Laurent, “Facets for the cut cone. II. Clique-web inequalities”, Math. Programming, 56:2, Ser. A (1992), 161–188	27 ^[x]
139.	M. Deza, M. Laurent, “Facets for the cut cone. I”, Math. Programming, 56:2, Ser. A (1992), 121–160	41 ^[x]
140.	M. Deza, M. Laurent, “Extension operations for cuts”, A collection of contributions in honour of Jack van Lint, Discrete Math., 106/107 (1992), 163–179	7 ^[x]
141.	M. Deza, M. Laurent, S. Poljak, “The cut cone. III. On the role of triangle facets”, Graphs Combin., 8:2 (1992), 125–142	13 ^[x]
142.	M. Deza, “Perfect matroid designs”, Matroid applications, Encyclopedia Math. Appl., 40, Cambridge Univ. Press, Cambridge, 1992, 54–72
143.	M. Deza, M. Laurent, “The Fibonacci and parachute inequalities for $l_1$-metrics”, Fibonacci Quart., 30:1 (1992), 54–61

1991
144.	N. Hamada, M. Deza, “A characterization of $\{2v_{\alpha+1}+2v_{\beta+1},2v_\alpha + 2v_\beta; t,q\}$-minihypers in ${\rm PG}(t,q)$ $(t\ge 2,\ q\ge 5$ and $0\le\alpha<\beta<t)$ and its applications to error-correcting codes”, Discrete Math., 93:1 (1991), 19–33	10 ^[x]
145.	D. Avis, M. Deza, “The cut cone, $L^1$ embeddability, complexity, and multicommodity flows”, Networks, 21:6 (1991), 595–617	35 ^[x]
146.	M. Deza, M. Grötschel, M. Laurent, “Complete descriptions of small multicut polytopes”, Applied geometry and discrete mathematics, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 4, Amer. Math. Soc., Providence, RI, 1991, 221–252	4 ^[x]
147.	M. Deza, V. P. Grishukhin, M. Laurent, “The symmetries of the cut polytope and of some relatives”, Applied geometry and discrete mathematics, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 4, Amer. Math. Soc., Providence, RI, 1991, 205–220	17 ^[x]

1990
148.	M. Deza, G. Sabidussi, “Combinatorial structures arising from commutative Moufang loops”, Quasigroups and loops: theory and applications, Sigma Ser. Pure Math., 8, Heldermann, Berlin, 1990, 151–160
149.	M. Deza, T. Yu. Huang, M. Laurent, “On $d$-transversal planes”, Algebraic structures and number theory (1988, Hong Kong), World Sci. Publ., Teaneck, NJ, 1990, 38–64
150.	M. Deza, D. K. Ray-Chaudhuri, N. M. Singhi, “Positive independence and enumeration of codes with a given distance pattern”, Coding theory and design theory, Part I, IMA Vol. Math. Appl., 20, Springer, New York, 1990, 93–101
151.	M. Deza-Marie, K. Fukuda, “Loops of clutters”, Coding theory and design theory, Part I, IMA Vol. Math. Appl., 20, Springer, New York, 1990, 72–92	3 ^[x]
152.	M. Deza, H. Maehara, “Metric transforms and Euclidean embeddings”, Trans. Amer. Math. Soc., 317:2 (1990), 661–671	17 ^[x]

1989
153.	E. Bannai, M. Deza, P. Frankl, A. C. Kim, M. Kiyota, “On the number of elements which are not $n$th powers in finite groups”, Comm. Algebra, 17:11 (1989), 2865–2870	2 ^[x]
154.	N. Hamada, M. Deza, “A survey of recent works with respect to a characterization of an $(n,k,d;q)$-code meeting the Griesmer bound using a ${\rm min}\cdot$hyper in a finite projective geometry”, Combinatorial designs—a tribute to Haim Hanani, Discrete Math., 77:1-3 (1989), 75–87	8 ^[x]
155.	N. Hamada, M. Deza, “A characterization of $\{\nu_{\mu+1}+\epsilon,\nu_\mu;t,q\}$-min.hypers and its applications to error-correcting codes and factorial designs”, J. Statist. Plann. Inference, 22:3 (1989), 323–336	14 ^[x]
156.	M. Laurent, M. Deza, “Bouquets of geometric lattices: some algebraic and topological aspects”, Graph theory and combinatorics (Cambridge, 1988), Discrete Math., 75:1-3 (1989), 279–313

1988
157.	P. J. Cameron, M. Deza, N. M. Singhi, “Infinite geometric groups and sets”, Algebraic, extremal and metric combinatorics, 1986 (Montreal, PQ, 1986), London Math. Soc. Lecture Note Ser., 131, Cambridge Univ. Press, Cambridge, 1988, 54–61
158.	N. Hamada, M. Deza, “A characterization of some $(n,k,d,q)$-codes meeting the Griesmer bound for given integers $k\geq 3, q\geq 5$ and $d=q^{k-1}-q^\alpha-q^\beta-q^\gamma$ $(0\leq\alpha\leq\beta<\gamma<k-1$ or $0\leq\alpha<\beta\le\gamma<k-1)$”, Bull. Inst. Math. Acad. Sinica, 16:4 (1988), 321–338
159.	P. J. Cameron, M. Deza, P. Frankl, “Intersection theorems in permutation groups”, Combinatorica, 8:3 (1988), 249–260	2 ^[x]
160.	N. Hamada, M. Deza, “Characterization of $\{2(q+1)+2,2;t,q\}$-${\rm min}\cdot{\rm hypers}$ in ${\rm PG}(t,q)\;(t\geq 3,\;q\geq 5)$ and its applications to error-correcting codes”, Discrete Math., 71:3 (1988), 219–231	16 ^[x]
161.	M. Deza, N. M. Singhi, “Rigid pentagons in hypercubes”, Graphs Combin., 4:1 (1988), 31–42	5 ^[x]

1987
162.	P. J. Cameron, M. Deza, P. Frankl, “Sharp sets of permutations”, J. Algebra, 111:1 (1987), 220–247	16 ^[x]
163.	P. Terwilliger, M. Deza, “The classification of finite connected hypermetric spaces”, Graphs Combin., 3:3 (1987), 293–298	15 ^[x]
164.	M. Deza, M. Laurent, “Bouquets of matroids, $d$-injection geometries and diagrams”, J. Geom., 29:1 (1987), 12–35	7 ^[x]
165.	M. Deza, P. Frankl, “A Helly type theorem for hypersurfaces”, J. Combin. Theory Ser. A, 45:1 (1987), 27–30	7 ^[x]

1986
166.	M. Deza-M., I. G. Rosenberg, “General convolutions motivated by designs”, Acta Univ. Carolin. Math. Phys., 27:2 (1986), 49–66
167.	M. Deza, P. Frankl, “On squashed designs”, Discrete Comput. Geom., 1:4 (1986), 379–390	5 ^[x]
168.	M. Deza, T. Ihringer, “On permutation arrays, transversal seminets and related structures”, Combinatorics '84 (1984, Bari), North-Holland Math. Stud., 123, North-Holland, Amsterdam, 1986, 185–201
169.	M. Deza, K. Fukuda, “On bouquets of matroids and orientation”, RIMS Kokyuroku, 587 (1986), 110–129 http://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/99401?locale=en

1985
170.	M. Deza, P. Frankl, “Bounds on the maximum number of vectors with given scalar products”, Proc. Amer. Math. Soc., 95:2 (1985), 323–329	8 ^[x]
171.	M. Deza, P. Frankl, J. W. P. Hirschfeld, “Sections of varieties over finite fields as large intersection families”, Proc. London Math. Soc. (3), 50:3 (1985), 405–425	2 ^[x]

1984
172.	M. Deza, “$A$-$B$-patterns and general balanced arrays”, Combinatorics and applications (1982, Calcutta), Indian Statist. Inst., Calcutta, 1984, 101–117
173.	M. Deza, P. Frankl, “Injection geometries”, J. Combin. Theory Ser. B, 37:1 (1984), 31–40	10 ^[x]
174.	M. Deza, “Small pentagonal spaces”, principles and applications (1982, La Mendola), Rend. Sem. Mat. Brescia, 7, Vita e Pensiero, Milan, 1984, 269–282
175.	M. Deza, I. G. Rosenberg, “Intersection and distance patterns”, Utilitas Math., 25 (1984), 191–214

1983
176.	A. Bonisoli, M. Deza, “Orthogonal permutation arrays and related structures”, Acta Univ. Carolin. Math. Phys., 24:2 (1983), 23–38
177.	M. Deza, P. Frankl, N. M. Singhi, “On functions of strength $t$”, Combinatorica, 3:3-4 (1983), 331–339	17 ^[x]
178.	M. Deza, P. Frankl, “Erdős-Ko-Rado theorem—22 years later”, SIAM J. Algebraic Discrete Methods, 4:4 (1983), 419–431	103 ^[x]
179.	M. Deza, “Some new generalizations of sharply $t$-transitive groups and sets”, Combinatorics '81 (1981, Rome), Ann. Discrete Math., 18, North-Holland, Amsterdam, 1983, 295–314
180.	M. Deza, P. Frankl, “On $t$-distance sets of $(0,\pm 1)$-vectors”, Geom. Dedicata, 14:3 (1983), 293–301	2 ^[x]

1982
181.	M. Deza, S. A. Vanstone, “On maximal equidistant permutation arrays”, Theory and practice of combinatorics, North-Holland Math. Stud., 60, North-Holland, Amsterdam, 1982, 87–94	1 ^[x]
182.	M. Deza, P. Frankl, “On the vector space of $0$-configurations”, Combinatorica, 2:4 (1982), 341–345	9 ^[x]
183.	P. Assouad, M. Deza, Metric subspaces of $L^{1}$, With a French summary, Publications Mathématiques d'Orsay [Mathematical Publications of Orsay], 82, Université de Paris-Sud Département de Mathématique, Orsay, 1982 , iv+47 pp.

1981
184.	M. Deza, R. C. Mullin, S. A. Vanstone, “Recent results on $(r,\lambda )$-designs and related configurations”, Rev. Técn. Fac. Ingr. Univ. Zulia, 4:1-2 (1981), 139–158
185.	L. Babai, P. J. Cameron, M. Deza, N. M. Singhi, “On sharply edge-transitive permutation groups”, J. Algebra, 73:2 (1981), 573–585	5 ^[x]
186.	M. Deza, M. G. Karpovsky, V. D. Milman, “Codes correcting an arbitrary set of errors”, Rev. CETHEDEC, 1981, no. 66, 65–76
187.	M. Deza, P. Frankl, “Every large set of equidistant $(0,+1,-1)$-vectors forms a sunflower”, Combinatorica, 1:3 (1981), 225–231	17 ^[x]

1980
188.	P. Assouad, M. Deza, “Espaces métriques plongeables dans un hypercube: aspects combinatoires”, Combinatorics 79 (Proc. Colloq., Univ. Montréal, Montreal, Que., 1979), Part I, Ann. Discrete Math., 8 (1980), 197–210	30 ^[x]
189.	M. Deza, N. M. Singhi, “Some properties of perfect matroid designs”, Combinatorial mathematics, optimal designs and their applications (Proc. Sympos. Combin. Math. and Optimal Design, Colorado State Univ., Fort Collins, Colo., 1978), Ann. Discrete Math., 6 (1980), 57–76	6 ^[x]
190.	G. Cohen, M. Deza, “Some metrical problems on $S_{n}$”, Combinatorics 79 (Proc. Colloq., Univ. Montréal, Montreal, Que., 1979), Part I, Ann. Discrete Math., 8 (1980), 211–216	4 ^[x]
191.	M. Deza, “Finite commutative Moufang loops, related matroids, and association schemes”, and Computing (1979, Humboldt State Univ., Arcata, Calif.), Congress. Numer., XXVI, Utilitas Math., Winnipeg, Man., 1980, 3–15
192.	M. Deza, S. A. Vanstone, “Some maximal equidistant permutation arrays”, J. Korean Math. Soc., 17:1 (1980/81), 45–51
193.	M. Deza, “On permutation cliques”, Combinatorial mathematics, optimal designs and their applications (Proc. Sympos. Combin. Math. and Optimal Design, Colorado State Univ., Fort Collins, Colo., 1978), Ann. Discrete Math., 6 (1980), 41–55	6 ^[x]
194.	M. Deza, I. G. Rosenberg, “Generalized intersection patterns and two-symbol balanced arrays”, Linear Algebra Appl., 30 (1980), 9–40	2 ^[x]

1979
195.	P. J. Cameron, M. Deza, “On permutation geometries”, J. London Math. Soc. (2), 20:3 (1979), 373–386	31 ^[x]
196.	M. Deza, “Maximal permutation anticodes”, Proceedings of the Tenth Southeastern Conference on Combinatorics, Graph Theory and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1979), Congress. Numer., XXIII–XXIV, Utilitas Math., Winnipeg, Man., 1979, 381–392
197.	M. Deza, “Isometries of hypergraphs”, Proceedings of the Symposium on Graph Theory (Indian Statist. Inst., Calcutta, 1976), ISI Lecture Notes, 4, Macmillan of India, New Delhi, 1979, 174–189
198.	I. F. Blake, G. Cohen, M. Deza, “Coding with permutations”, Inform. and Control, 43:1 (1979), 1–19	69 ^[x]
199.	M. Deza, I. G. Rosenberg, “Intersection and distance patterns”, Graph theory and related topics, Proc. Conf., Univ. Waterloo, Waterloo, Ont., 1977, Academic Press, New York, 1979, 133–143
200.	G. Cohen, M. Deza, “Distances invariantes et $L$-cliques sur certains demi-groupes finis”, Mathematiques et Sciences Humaines, 67 (1979), 49–69 https://eudml.org/doc/94230

1978
201.	M. Deza, S. Földes, “Some remarks on combinatorial metric spaces and association schemes”, Southeast Asian Bull. Math., 2:1 (1978), 26–28
202.	M. Deza, “Pavage généralisé parfait comme généralisation de matroïde-configurations et de simples $t$-configurations”, Problèmes combinatoires et théorie des graphes (Colloq. Internat. CNRS, Univ. Orsay, Orsay, 1976), Colloq. Internat. CNRS, 260, CNRS, Paris, 1978, 99–102
203.	M. Deza, I. Rosenberg, “Cardinalités de sommets et d'arêtes d'hypergraphes satisfaisant à certaines conditions sur l'intersection d'arêtes”, Colloque Mathématiques Discrètes: Codes et Hypergraphes (Brussels, 1978), Cahiers Centre Études Rech. Opér., 20:3-4 (1978), 279–285
204.	M. Deza, “Configurations géométriques parfaites”, Colloque Mathématiques Discrètes: Codes et Hypergraphes (Brussels, 1978), Cahiers Centre Études Rech. Opér., 20:3-4 (1978), 351–358
205.	M. Deza, P. Erd{ő}s, N. M. Singhi, “Combinatorial problems on subsets and their intersections”, Studies in foundations and combinatorics, Adv. in Math. Suppl. Stud., 1, Academic Press, New York, 1978, 259–265
206.	M. Deza, P. Erd{ő}s, P. Frankl, “Intersection properties of systems of finite sets”, Combinatorics (1976, Proc. Fifth Hungarian Colloq., Keszthely), Colloq. Math. Soc. János Bolyai, 18, North-Holland, Amsterdam, 1978, 251–256
207.	M. Deza, R. C. Mullin, S. A. Vanstone, “Orthogonal systems”, Aequationes Math., 17:2-3 (1978), 322–330	8 ^[x]
208.	M. Deza, S. A. Vanstone, “Bounds for permutation arrays”, J. Statist. Plann. Inference, 2:2 (1978), 197–209	56 ^[x]
209.	M. Deza, P. Erd{ő}s, P. Frankl, “Intersection properties of systems of finite sets”, Proc. London Math. Soc. (3), 36:2 (1978), 369–384	46 ^[x]

1977
210.	M. Deza, F. Hoffman, “Some results related to generalized Varshamov-Gilbert bounds”, IEEE Trans. Information Theory, IT-23:4 (1977), 517–518	6 ^[x]
211.	M. Deza, “On minimal number of terms in representation of natural numbers as a sum of Fibonacci numbers”, Fibonacci Quart., 15:3 (1977), 237–238
212.	M. Deza, P. Eades, “On circulant codes with prescribed distances”, Bull. Austral. Math. Soc., 16:3 (1977), 361–369
213.	P. Frankl, M. Deza, “On the maximum number of permutations with given maximal or minimal distance”, J. Combinatorial Theory Ser. A, 22:3 (1977), 352–360	139 ^[x]

1976
214.	G. Cohen, M. Deza, “Codes parfaits et uniformément empilés”, Rev. CETHEDEC, 49 (1976), 35–44
215.	M. Deza, R. C. Mullin, S. A. Vanstone, “Room squares and equidistant permutation arrays”, Ars Combinatoria, 2 (1976), 235–244
216.	P. Camion, M. Deza, “Propriétés des codes de Goppa”, Rev. CETHEDEC, 47 (1976), 75–82
217.	M. Deza, “Matrices dont deux lignes quelconque coïncident dans un nombre donné de positions communes”, J. Combinatorial Theory Ser. A, 20:3 (1976), 306–318	14 ^[x]

1975
218.	M. Deza, “There exist only a finite number of tight $t$-designs $S_{\lambda }(t,k,v)$ for every block size $k$”, Utilitas Math., 8 (1975), 347–348
219.	M. Deza, P. Erd{ő}s, “Extension de quelques théorèmes sur les densités de séries d'éléments de $N$ à des séries de sous-ensembles finis de $N$”, Discrete Math., 12:4 (1975), 295–308	6 ^[x]
220.	M. Deza, “Problème de l'existence de $(H^{1},H^{2},b)$-hypergraphes”, Colloque sur la Théorie des Graphes (Paris, 1974), Cahiers Centre Études Recherche Opér., 17:2-4 (1975), 185–190
221.	M. Deza, “Racine minimum d'un groupe élémentaire abélien”, Canad. J. Math., 27:4 (1975), 819–826	2 ^[x]

1974
222.	M. Deza, “Bref compte rendu des résultats liés au problème de la comparaison des bruits additifs avec un nombre donné de combinaisons de bruits”, Théories de l'information (Actes Colloq. Information et les Questionnaires, Centre de Rencontres Mathématiques de Luminy, 1973), Lecture Notes in Math., 398, Springer, Berlin, 1974, 118–125
223.	M. Deza, “Solution d'un problème de Erdős-Lovász”, J. Combinatorial Theory Ser. B, 16 (1974), 166–167	30 ^[x]

1973
224.	M. Deza, “Matrices des formes quadratiques non négatives pour des arguments binaires”, C. R. Acad. Sci. Paris Sér. A, 277 (1973), 873–875
225.	M. Deza, “Une propriété extrémale des plans projectifs finis dans une classe de codes équidistants”, Discrete Math., 6 (1973), 343–352	38 ^[x]

1965
226.	M. Deza, “Comparison of Arbitrary Additive Noise Relative to the Effectiveness of Detection or Correction”, Problems Inform. Transmission, 1:3 (1965), 21–28

1964
227.	M. E. Deza, “On correction of an arbitrary noise and on the worst noise”, Problemy Peredači Informacii, 16 (1964), 26–31

1962
228.	M. E. Tylkin, “O realizuemosti matrits rasstoyanii v edinichnykh kubakh”, Problemy kibernetiki, 7, Fizmatgiz, M., 1962, 31–72

1960
229.	M. E. Tylkin, “On Hamming geometry of unitary cubes”, Soviet Physics. Dokl., 5 (1960), 940–943

Presentations in Math-Net.Ru

Cones and polytopes of metrics, hypermetrics, quasimetrics and hemimetrics
Michel Deza, Mathieu Dutour Sikirić
XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa
May 13, 2019 12:20

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