An Infinite Graph of Girth 12

DOI10.2307/1999147zbMath0543.51018OpenAlexW4247235751MaRDI QIDQ3331828

Asia Ivić Weiss

Publication date: 1984

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999147

zbMATH Keywords

Cayley diagramcrystallographic regular hyperbolic honeycombsinfinite trivalent symmetrical graph of girth 12

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Connectivity (05C40)

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Medial layer graphs of equivelar 4-polytopes ⋮ Semisymmetric graphs from polytopes ⋮ Twisted Groups and Locally Toroidal Regular Polytopes ⋮ Reflection groups and polytopes over finite fields. II. ⋮ Two families of locally toroidal regular 4-hypertopes arising from toroids ⋮ A census of regular 3-polystroma arising from honeycombs ⋮ Locally unitary groups and regular polytopes ⋮ Regular incidence-polytopes with Euclidean or toroidal faces and vertex- figures

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