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Small graphs and hypergraphs of given degree and girth

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Publication:2699648
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DOI10.37236/11765OpenAlexW4360850255MaRDI QIDQ2699648

Grahame Erskine, James Tuite

Publication date: 19 April 2023

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.07117


zbMATH Keywords

Cayley graphs\(d\)-regular graphcage problemBerge girth


Mathematics Subject Classification ID

Hypergraphs (05C65) Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Vertex degrees (05C07)



Uses Software

  • GAP


Cites Work

  • On regular hypergraphs of high girth
  • Constructions for cubic graphs with large girth
  • Cayley, Marty and Schreier hypergraphs
  • The size of bipartite graphs with a given girth
  • Dynamic cage survey
  • On biregular bipartite graphs of small excess


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