Five-valent convex polyhedra with prescribed faces

DOI10.1016/0097-3165(75)90061-8zbMath0296.05016OpenAlexW2159927918MaRDI QIDQ1213447

S. Singh

Publication date: 1975

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(75)90061-8

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Other designs, configurations (05B30) Polytopes and polyhedra (52Bxx)

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On face-vectors of 5-valent convex 3-polytopes ⋮ Graphs of polyhedra; polyhedra as graphs ⋮ An Eberhard-like theorem for pentagons and heptagons ⋮ On a problem of J. Zaks concerning 5-valent 3-connected planar graphs ⋮ Unnamed Item

Cites Work

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• An existence theorem for simple convex polyhedra
• Finite sets of points on a sphere with each nearest to five others
• Planar maps with prescribed types of vertices and faces
• Polytopes, graphs, and complexes