The height of faces of 3-polytopes

DOI10.1134/S0037446617010050zbMath1385.52007OpenAlexW2593361153MaRDI QIDQ2360257

Oleg V. Borodin, Anna O. Ivanova

Publication date: 30 June 2017

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

Full work available at URL: https://doi.org/10.1134/s0037446617010050

zbMATH Keywords

planar graph3-polytopeplane mapstructure propertiesheight of face

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (3)

Heights of minor faces in 3-polytopes ⋮ More about the height of faces in 3-polytopes ⋮ Low faces of restricted degree in 3-polytopes

Cites Work

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• Describing faces in plane triangulations
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• Triangulated \(3\)-polytopes without faces of low weight
• Cyclic degrees of 3-polytopes
• Light subgraphs of graphs embedded in the plane. A survey
• Colorings of plane graphs: a survey
• Weight of faces in plane maps
• Quelques consequences simples de la formule d'Euler
• Height of minor faces in plane normal maps
• Unavoidable set of face types for planar maps
• Light subgraphs in planar graphs of minimum degree 4 and edge‐degree 9
• Heights of minor faces in triangle-free 3-polytopes

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