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Mat. Zametki, 1992, Volume 51, Issue 1, Pages 16–19 (Mi mz4448)  

This article is cited in 16 scientific papers (total in 16 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 file (411 kB)

English version:
Mathematical Notes, 1992, 51:1, 11–13

Bibliographic databases:

UDC: 519.17
Received: 16.05.1990

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
\by O.~V.~Borodin
\paper Minimal weight of face in plane triangulations without 4-vertices
\jour Mat. Zametki
\yr 1992
\vol 51
\issue 1
\pages 16--19
\jour Math. Notes
\yr 1992
\vol 51
\issue 1
\pages 11--13

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    This publication is cited in the following articles:
    1. O. V. Borodin, D. R. Vudal, “Weight of faces in plane maps”, Math. Notes, 64:5 (1998), 562–570  mathnet  crossref  crossref  mathscinet  zmath  isi
    2. 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  mathnet  mathscinet  zmath
    3. 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  isi
    4. 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  mathnet  crossref  mathscinet  isi
    5. Borodin O.V. Ivanova A.O. Kostochka A.V., “Describing Faces in Plane Triangulations”, Discrete Math., 319 (2014), 47–61  crossref  isi
    6. O. V. Borodin, A. O. Ivanova, “The vertex-face weight of edges in $3$-polytopes”, Siberian Math. J., 56:2 (2015), 275–284  mathnet  crossref  mathscinet  isi  elib  elib
    7. O. V. Borodin, A. O. Ivanova, “Heights of minor faces in triangle-free $3$-polytopes”, Siberian Math. J., 56:5 (2015), 783–788  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    8. Borodin O.V., Ivanova A.O., “Low Edges in 3-Polytopes”, Discrete Math., 338:12 (2015), 2234–2241  crossref  isi
    9. 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
    10. 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
    11. 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
    12. 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  isi  scopus
    13. 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
    14. O. V. Borodin, A. O. Ivanova, “The height of faces of $3$-polytopes”, Siberian Math. J., 58:1 (2017), 37–42  mathnet  crossref  crossref  isi  elib  elib
    15. O. V. Borodin, A. O. Ivanova, “Low faces of restricted degree in $3$-polytopes”, Siberian Math. J., 60:3 (2019), 405–411  mathnet  crossref  crossref  isi  elib
    16. O. V. Borodin, A. O. Ivanova, “Vysoty mladshikh granei v $3$-mnogogrannikakh”, Sib. matem. zhurn., 62:2 (2021), 250–268  mathnet  crossref
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