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On the isomorphism problem of Cayley graphs of Abelian groups

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Publication:1584292
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DOI10.1016/S0012-365X(98)80007-1zbMath0956.20023MaRDI QIDQ1584292

Ming-Yao Xu, Ji Xiang Meng

Publication date: 2 November 2000

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


zbMATH Keywords

Cayley graphsminimal generating setsAbelian DCIM-groupsCI-subsets


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)


Related Items (3)

Normal minimal Cayley digraphs of abelian groups ⋮ Cayley digraphs with normal adjacency matrices ⋮ On the isomorphisms of Cayley graphs of Abelian groups.




Cites Work

  • A non-Cayley-invariant Cayley graph of the elementary Abelian group of order 64
  • Isomorphism of circulant graphs and digraphs
  • Isomorphisms of circulant digraphs
  • Isomorphism problem for relational structures with a cyclic automorphism
  • Point-symmetric graphs with a prime number of points
  • Graphs with circulant adjacency matrices
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