Tight description of faces in torus triangulations with minimum degree 5

DOI10.33048/semi.2021.18.110zbMath1475.05046OpenAlexW4205869657MaRDI QIDQ2058357

Oleg V. Borodin, Anna O. Ivanova

Publication date: 8 December 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.110

zbMATH Keywords

triangulationtorusplane graphquadrangulationstructure properties3-faces

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Structural characterization of families of graphs (05C75)

Related Items (2)

Combinatorial structure of faces in triangulations on surfaces ⋮ Tight description of faces of triangulations on the torus

Cites Work

• Describing 3-faces in normal plane maps with minimum degree 4
• Describing faces in plane triangulations
• Solution of problems of Kotzig and Grünbaum concerning the isolation of cycles in planar graphs
• Triangulated \(3\)-polytopes without faces of low weight
• Light subgraphs of graphs embedded in the plane. A survey
• Colorings of plane graphs: a survey
• An improvement of Lebesgue's description of edges in 3-polytopes and faces in plane quadrangulations
• Quelques consequences simples de la formule d'Euler
• Unavoidable set of face types for planar maps
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