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Matematicheskie Zametki, 1998, Volume 64, Issue 5, Pages 648–657
DOI: https://doi.org/10.4213/mzm1441
(Mi mzm1441)
 

This article is cited in 15 scientific papers (total in 15 papers)

Weight of faces in plane maps

O. V. Borodina, D. R. Vudalb

a Novosibirsk State University
b Nottingham Trent University
References:
Abstract: Precise upper bounds are obtained for the minimum weight of minor faces in normal plane maps and 3-polytopes with specified maximum vertex degree.
Received: 31.07.1997
Revised: 24.08.1998
English version:
Mathematical Notes, 1998, Volume 64, Issue 5, Pages 562–570
DOI: https://doi.org/10.1007/BF02316280
Bibliographic databases:
UDC: 519.17
Language: Russian
Citation: O. V. Borodin, D. R. Vudal, “Weight of faces in plane maps”, Mat. Zametki, 64:5 (1998), 648–657; Math. Notes, 64:5 (1998), 562–570
Citation in format AMSBIB
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\paper Weight of faces in plane maps
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\yr 1998
\vol 64
\issue 5
\pages 648--657
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\zmath{https://zbmath.org/?q=an:0958.52015}
\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 5
\pages 562--570
\crossref{https://doi.org/10.1007/BF02316280}
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Linking options:
  • https://www.mathnet.ru/eng/mzm1441
  • https://doi.org/10.4213/mzm1441
  • https://www.mathnet.ru/eng/mzm/v64/i5/p648
  • This publication is cited in the following 15 articles:
    1. O. V. Borodin, A. O. Ivanova, “Heights of minor faces in 3-polytopes”, Siberian Math. J., 62:2 (2021), 199–214  mathnet  crossref  crossref  isi  elib
    2. O. V. Borodin, A. O. Ivanova, “Low faces of restricted degree in 33-polytopes”, Siberian Math. J., 60:3 (2019), 405–411  mathnet  crossref  crossref  isi  elib
    3. Oleg V. Borodin, Anna O. Ivanova, “Low minor faces in 3-polytopes”, Discrete Mathematics, 341:12 (2018), 3415  crossref
    4. Borodin O.V., Ivanova A.O., Vasil'eva E.I., “A Steinberg-Like Approach to Describing Faces in 3-Polytopes”, Graphs Comb., 33:1 (2017), 63–71  crossref  mathscinet  zmath  isi  scopus
    5. Borodin O.V. Ivanova A.O., “New Results About the Structure of Plane Graphs: a Survey”, Proceedings of the 8th International Conference on Mathematical Modeling (ICMM-2017), AIP Conference Proceedings, 1907, ed. Egorov I. Popov S. Vabishchevich P. Antonov M. Lazarev N. Troeva M. Troeva M. Ivanova A. Grigorev Y., Amer Inst Physics, 2017, UNSP 030051  crossref  isi  scopus  scopus
    6. O. V. Borodin, A. O. Ivanova, “The height of faces of 33-polytopes”, Siberian Math. J., 58:1 (2017), 37–42  mathnet  crossref  crossref  isi  elib  elib
    7. Borodin O.V., Ivanova A.O., “The weight of faces in normal plane maps”, Discrete Math., 339:10 (2016), 2573–2580  crossref  mathscinet  zmath  isi  elib  scopus
    8. Borodin O.V., Ivanova A.O., “On the weight of minor faces in triangle-free polytopes”, Discuss. Math. Graph Theory, 36:3 (2016), 603–619  crossref  mathscinet  zmath  isi  elib  scopus
    9. A. O. Ivanova, “Opisanie granei v 3-mnogogrannikakh bez vershin stepenei ot 4 do 9”, Matematicheskie zametki SVFU, 23:3 (2016), 46–54  mathnet  elib
    10. O. V. Borodin, A. O. Ivanova, “The vertex-face weight of edges in 33-polytopes”, Siberian Math. J., 56:2 (2015), 275–284  mathnet  crossref  mathscinet  isi  elib  elib
    11. O. V. Borodin, A. O. Ivanova, “Heights of minor faces in triangle-free 33-polytopes”, Siberian Math. J., 56:5 (2015), 783–788  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    12. Borodin O.V., Ivanova A.O., Kostochka A.V., “Describing Faces in Plane Triangulations”, Discrete Math., 319 (2014), 47–61  crossref  mathscinet  zmath  isi  scopus  scopus
    13. Borodin O.V. Ivanova A.O., “Describing 3-Faces in Normal Plane Maps with Minimum Degree 4”, Discrete Math., 313:23 (2013), 2841–2847  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    14. Radoicic R. Toth G., “The Discharging Method in Combinatorial Geometry and the Pach-Sharir Conjecture”, Surveys on Discrete and Computational Geometry: Twenty Years Later, Contemporary Mathematics, 453, ed. Goodman J. Pach J. Pollack R., Amer Mathematical Soc, 2008, 319–342  crossref  mathscinet  zmath  isi
    15. Broersma, H, “A general framework for coloring problems: Old results, new results, and open problems”, Combinatorial Geometry and Graph Theory, 3330 (2005), 65  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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