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On Isomorphisms of Minimal Cayley Graphs and Digraphs

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Abstract.

 A Cayley graph or digraph Cay(G,S) is called a CI-graph of G if, for any T⊂G, Cay(G,S)≅Cay(G,T) if and only if S σ=T for some σ∈Aut(G). The aim of this paper is to characterize finite abelian groups for which all minimal Cayley graphs and digraphs are CI-graphs.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Western Australia, Nedlands W.A. 6907, Australia. e-mail: li@maths.uwa.edu.au, , , , , , AU

    Cai Heng Li & Sanming Zhou

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  1. Cai Heng Li
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  2. Sanming Zhou
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Received: February 13, 1998 Final version received: May 7, 1999

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Li, C., Zhou, S. On Isomorphisms of Minimal Cayley Graphs and Digraphs. Graphs Comb 17, 307–314 (2001). https://doi.org/10.1007/PL00007247

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  • DOI: https://doi.org/10.1007/PL00007247

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