Medial layer graphs of equivelar 4-polytopes

DOI10.1016/j.ejc.2005.10.001zbMath1110.52016OpenAlexW2006288216MaRDI QIDQ854805

Barry Monson, Asia Ivić Weiss

Publication date: 7 December 2006

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2005.10.001

zbMATH Keywords

regular graphself-dualregular polytopechiral polytope\(C\)-groupflag transitivepolystroma

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Polyhedra and polytopes; regular figures, division of spaces (51M20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetry properties of polytopes (52B15)

Related Items (3)

Colorful polytopes and graphs ⋮ Semisymmetric graphs from polytopes ⋮ Symmetric graphs from polytopes of high rank

Uses Software

• GAP
• nauty
• GRAPE

Cites Work

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• Semisymmetric graphs from polytopes
• Twisted honeycombs \(\{\) 3,5,3\(\}\) , and their groups
• The medial graph and voltage-current duality
• Regular groups of automorphisms of cubic graphs
• Chirality and projective linear groups
• Eisenstein integers and related \(C\)-groups
• Automorphism groups of symmetric graphs of valency 3
• Self-duality of chiral polytopes
• An Infinite Graph of Girth 12
• My Graph
• Abstract Regular Polytopes
• On Trivalent Graphs Embedded in Twisted Honeycombs

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