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Combinatorial structure of faces in triangulated 3-polytopes with minimum degree 4

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Publication:467650
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DOI10.1134/S0037446614010030zbMath1302.52012OpenAlexW1994112654MaRDI QIDQ467650

Oleg V. Borodin, Anna O. Ivanova

Publication date: 4 November 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446614010030


zbMATH Keywords

plane graphweight3-polytopeplane mapstructural properties


Mathematics Subject Classification ID

Three-dimensional polytopes (52B10)


Related Items (2)

Another tight description of faces in plane triangulations with minimum degree 4 ⋮ Tight description of faces of triangulations on the torus



Cites Work

  • Describing 3-faces in normal plane maps with minimum degree 4
  • Triangles with restricted degrees of their boundary vertices in plane triangulations
  • Triangulated \(3\)-polytopes without faces of low weight
  • Light subgraphs of graphs embedded in the plane. A survey
  • Colorings of plane graphs: a survey
  • Quelques consequences simples de la formule d'Euler
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