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Abelian Cayley graphs of given degree and diameter 2 and 3

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Publication:489326
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DOI10.1007/s00373-013-1361-5zbMath1306.05095OpenAlexW2057836719MaRDI QIDQ489326

Tomáš Vetrík

Publication date: 20 January 2015

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

Full work available at URL: https://doi.org/10.1007/s00373-013-1361-5


zbMATH Keywords

Cayley graphdiametercyclic groupabelian group


Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Vertex degrees (05C07)


Related Items

The degree-diameter problem for outerplanar graphs ⋮ Improved lower bounds on the degree-diameter problem ⋮ Large circulant graphs of fixed diameter and arbitrary degree ⋮ Bound on the diameter of metacyclic groups ⋮ Cayley Graphs of Diameter Two from Difference Sets



Cites Work

  • Approaching the Moore bound for diameter two by Cayley graphs
  • Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups
  • Large Cayley graphs on an abelian group
  • Large Cayley graphs and vertex-transitive non-Cayley graphs of given degree and diameter
  • The Degree-Diameter Problem for Several Varieties of Cayley Graphs I: The Abelian Case
  • Note on a “Square” Functional Equation
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