Height of minor faces in plane normal maps

DOI10.1016/S0166-218X(02)00292-5zbMath0913.05039OpenAlexW2035539125MaRDI QIDQ4242379

D. V. Loparev, Oleg V. Borodin

Publication date: 10 May 1999

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-218x(02)00292-5

zbMATH Keywords

planar mapLebesgue theoremface heightheight estimationplanar normal map

Mathematics Subject Classification ID

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

Related Items (14)

The height of faces of 3-polytopes ⋮ A Steinberg-like approach to describing faces in 3-polytopes ⋮ Heights of minor faces in 3-polytopes ⋮ Describing 3-faces in normal plane maps with minimum degree 4 ⋮ Describing faces in plane triangulations ⋮ The vertex-face weight of edges in 3-polytopes ⋮ More about the height of faces in 3-polytopes ⋮ An improvement of Lebesgue's description of edges in 3-polytopes and faces in plane quadrangulations ⋮ On the weight of minor faces in triangle-free 3-polytopes ⋮ Heights of minor faces in triangle-free 3-polytopes ⋮ Low edges in 3-polytopes ⋮ Low minor faces in 3-polytopes ⋮ Describing faces in 3-polytopes with no vertices of degree from 5 to 7 ⋮ Low faces of restricted degree in 3-polytopes

Cites Work

• Triangulated \(3\)-polytopes without faces of low weight
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