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Minimum order of loop networks of given degree and girth

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Publication:1895819
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DOI10.1007/BF01929482zbMath0824.05029MaRDI QIDQ1895819

Oriol Serra, Yahya Ould Hamidoune, Anna S. Lladó

Publication date: 9 November 1995

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


zbMATH Keywords

girthboundCayley digraphloop networks


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)


Related Items (2)

Yahya Ould Hamidoune's mathematical journey: a critical review of his work ⋮ On the second neighborhood conjecture of Seymour for regular digraphs with almost optimal connectivity



Cites Work

  • Unnamed Item
  • Short cycles in directed graphs
  • Short cycles in digraphs
  • On small sumsets in an abelian group
  • An application of connectivity theory in graphs to factorizations of elements in groups
  • Vosperian and superconnected abelian Cayley digraphs
  • On the connectivity of Cayley digraphs
  • On the Addition of Elements of a Sequence




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