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On the girth of infinite graphs

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Publication:685556
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DOI10.1016/0012-365X(93)90072-2zbMath0791.05061OpenAlexW2073879033WikidataQ127088628 ScholiaQ127088628MaRDI QIDQ685556

Norbert Seifter

Publication date: 8 June 1994

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(93)90072-2


zbMATH Keywords

polynomial growthupper boundCayley graphsgirthgrowth function


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)


Related Items

Self-avoiding walks and amenability ⋮ Cubic graphs and the golden mean



Cites Work

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  • Explicit construction of regular graphs without small cycles
  • Ramanujan graphs
  • Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
  • Explicit constructions of graphs without short cycles and low density codes
  • Graphs with polynomial growth are covering graphs
  • Automorphisms of graphs and coverings
  • On a Class of Fixed-Point-Free Graphs
  • GRAPHS WITH POLYNOMIAL GROWTH
  • Some applications of graph contractions
  • The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
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