The construction and classification of self-dual spherical polyhedra

DOI10.1016/0095-8956(92)90065-6zbMath0696.52006OpenAlexW1975647321MaRDI QIDQ910715

R. Bruce Richter, Dan S. Archdeacon

Publication date: 1990

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(92)90065-6

zbMATH Keywords

spherical polyhedra3-connected embedded planar graphsself-duality map

Mathematics Subject Classification ID

Polytopes and polyhedra (52Bxx)

Related Items (19)

Tight quadrangulations on the sphere ⋮ New dualities from old: generating geometric, Petrie, and Wilson dualities and trialities of ribbon graphs ⋮ Self-dual maps on the sphere ⋮ Unnamed Item ⋮ The 24 symmetry pairings of self-dual maps on the sphere ⋮ Stratified graphs for imbedding systems ⋮ Trinity symmetry and kaleidoscopic regular maps ⋮ Self-dual graphs ⋮ Characterization of a family of rotationally symmetric spherical quadrangulations ⋮ Cellular automorphisms and self-duality ⋮ Independence numbers of polyhedral graphs ⋮ Self-dual spherical grids ⋮ Self-Dual Polyhedral Cones and Their Slack Matrices ⋮ On reduced polytopes and antipodality ⋮ Decremental SPQR-trees for Planar Graphs ⋮ Self-dual embeddings of complete bipartite graphs ⋮ On the number of self-dual rooted maps ⋮ Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial ⋮ TESTING MUTUAL DUALITY OF PLANAR GRAPHS

Cites Work

• A non-involutory selfduality
• Is Selfduality Involutory?
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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