Face sizes of 3-polytopes

DOI10.1016/0095-8956(89)90007-5zbMath0666.05005OpenAlexW2095339031MaRDI QIDQ1116947

Edward A. Bender, E. Rodney Canfield

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0095-8956(89)90007-5

zbMATH Keywords

generating functionspolytopeverticesfaces

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Polytopes and polyhedra (52Bxx)

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Random infinite squarings of rectangles, Enumerative properties of rooted circuit maps, A central limit theorem for the number of degree-\(k\) vertices in random maps, Almost all rooted maps have large representativity, Joint convergence of random quadrangulations and their cores, Degree distribution in random planar graphs, Distributions of near-4-regular maps on the sphere and the projective plane, A pattern of asymptotic vertex valency distributions in planar maps

Cites Work

• The asymptotic enumeration of rooted convex polyhedra
• The Asymptotic Number of Convex Polyhedra
• Asymptotic Methods in Enumeration
• The enumeration of c-nets via quadrangulations
• On the Enumeration of Rooted Non-Separable Planar Maps