O. V. Borodin, “Minimal weight of face in plane triangulations without 4-vertices”, Mat. Zametki, 51:1 (1992), 16–19; Math. Notes, 51:1 (1992), 11

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Matematicheskie Zametki, 1992, Volume 51, Issue 1, Pages 16–19 (Mi mzm4448)

This article is cited in 17 scientific papers (total in 17 papers)

Minimal weight of face in plane triangulations without 4-vertices

O. V. Borodin

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences

Full-text PDF (411 kB) Citations (17)

Received: 16.05.1990

English version:
Mathematical Notes, 1992, Volume 51, Issue 1, Pages 11–13
DOI: https://doi.org/10.1007/BF01229428

Bibliographic databases:

UDC: 519.17

Language: Russian

Citation: O. V. Borodin, “Minimal weight of face in plane triangulations without 4-vertices”, Mat. Zametki, 51:1 (1992), 16–19; Math. Notes, 51:1 (1992), 11–13

Citation in format AMSBIB

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\jour Math. Notes

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\pages 11--13

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Linking options:

https://www.mathnet.ru/eng/mzm4448

https://www.mathnet.ru/eng/mzm/v51/i1/p16

This publication is cited in the following 17 articles:

O. V. Borodin, A. O. Ivanova, “Heights of minor faces in 3-polytopes”, Siberian Math. J., 62:2 (2021), 199–214
O. V. Borodin, A. O. Ivanova, “Low faces of restricted degree in $3$ -polytopes”, Siberian Math. J., 60:3 (2019), 405–411
Oleg V. Borodin, Anna O. Ivanova, “Low minor faces in 3-polytopes”, Discrete Mathematics, 341:12 (2018), 3415
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
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
O. V. Borodin, A. O. Ivanova, “The height of faces of $3$ -polytopes”, Siberian Math. J., 58:1 (2017), 37–42
Borodin O.V. Ivanova A.O., “The weight of faces in normal plane maps”, Discrete Math., 339:10 (2016), 2573–2580
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
A. O. Ivanova, “Opisanie granei v 3-mnogogrannikakh bez vershin stepenei ot 4 do 9”, Matematicheskie zametki SVFU, 23:3 (2016), 46–54
O. V. Borodin, A. O. Ivanova, “The vertex-face weight of edges in $3$ -polytopes”, Siberian Math. J., 56:2 (2015), 275–284
O. V. Borodin, A. O. Ivanova, “Heights of minor faces in triangle-free $3$ -polytopes”, Siberian Math. J., 56:5 (2015), 783–788
Borodin O.V., Ivanova A.O., “Low Edges in 3-Polytopes”, Discrete Math., 338:12 (2015), 2234–2241
O. V. Borodin, A. O. Ivanova, “Combinatorial structure of faces in triangulated $3$ -polytopes with minimum degree $4$ ”, Siberian Math. J., 55:1 (2014), 12–18
Borodin O.V. Ivanova A.O. Kostochka A.V., “Describing Faces in Plane Triangulations”, Discrete Math., 319 (2014), 47–61
Borodin O.V., Ivanova A.O., “Describing 3-Faces in Normal Plane Maps with Minimum Degree 4”, Discrete Math., 313:23 (2013), 2841–2847
O. V. Borodin, “Usilenie teoremy Lebega o stroenii mladshikh granei v vypuklykh mnogogrannikakh”, Diskretn. analiz i issled. oper., ser. 1, ser. 1, 9:3 (2002), 29–39
O. V. Borodin, D. R. Vudal, “Weight of faces in plane maps”, Math. Notes, 64:5 (1998), 562–570

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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