Graphs with polynomial growth are covering graphs

DOI10.1007/BF02349960zbMath0764.05034OpenAlexW1971127991MaRDI QIDQ1199120

Chris D. Godsil, N. Seifert

Publication date: 16 January 1993

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02349960

zbMATH Keywords

polynomial growthdistancegrowth function\(s\)-transitive graphlocally finite graphcovering graphtransitive automorphism group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (4)

Group actions, coverings and lifts of automorphisms ⋮ Graphs of linear growth have bounded treewidth ⋮ Constructing infinite one-regular graphs ⋮ On the girth of infinite graphs

Cites Work

• A note on bounded automorphisms of infinite graphs
• Properties of graphs with polynomial growth
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• The nonexistence of 8-transitive graphs
• Automorphisms of graphs and coverings
• Über unendliche Wege in Graphen
• GRAPHS WITH POLYNOMIAL GROWTH
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
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