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A geometric approach to dense Cayley digraphs of finite abelian groups

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Publication:510601
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DOI10.1016/j.endm.2016.09.048zbMath1356.05068OpenAlexW2532160288MaRDI QIDQ510601

Francesc Aguiló, Miquel Àngel Fiol, Sonia Pérez

Publication date: 13 February 2017

Full work available at URL: http://hdl.handle.net/2117/101763


zbMATH Keywords

densitydiameterdilationCayley digraphminimum distance diagram


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Directed graphs (digraphs), tournaments (05C20) Density (toughness, etc.) (05C42)




Cites Work

  • Abelian Cayley digraphs with asymptotically large order for any given degree
  • On congruence in \(\mathbb{Z}^ n\) and the dimension of a multidimensional circulant
  • Geometry and Diameter Bounds of Directed Cayley Graphs of Abelian Groups
  • Lattice-Simplex Coverings and the 84-Shape
  • The Degree-Diameter Problem for Several Varieties of Cayley Graphs I: The Abelian Case




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