An existence theorem for simple convex polyhedra

DOI10.1016/S0012-365X(74)80020-8zbMath0271.52008OpenAlexW1968173376MaRDI QIDQ759399

D. Kharzeev

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(74)80020-8

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Polytopes and polyhedra (52Bxx)

Related Items (15)

Graphs of polyhedra; polyhedra as graphs ⋮ Unnamed Item ⋮ An Eberhard-like theorem for pentagons and heptagons ⋮ Constructing certain families of 3‐polytopal graphs ⋮ Unnamed Item ⋮ On face vectors and vertex vectors of convex polyhedra ⋮ Five-valent convex polyhedra with prescribed faces ⋮ The existence of certain planar maps ⋮ Über 3-realisierbare Folgen mit beliebigen Sechseckzahlen ⋮ Unnamed Item ⋮ Decomposition of a convex polygon into convex polygons ⋮ Unnamed Item ⋮ Inner diagonals of convex polytopes ⋮ On a problem of J. Zaks concerning 5-valent 3-connected planar graphs ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Some analogues of Eberhard's theorem on convex polytopes
• Automorphismen von polyedrischen Graphen
• The graphs of polytopes with involutory automorphisms
• The analogue of Eberhard's theorem for 4-valent graphs on the torus
• On a conjecture by B. Grünbaum
• Polytopes, graphs, and complexes

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