• 제목/요약/키워드: strong transitive condition

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GENERALIZED CAYLEY GRAPHS OF RECTANGULAR GROUPS

  • ZHU, YONGWEN
    • 대한수학회보
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    • 제52권4호
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    • pp.1169-1183
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    • 2015
  • We describe generalized Cayley graphs of rectangular groups, so that we obtain (1) an equivalent condition for two Cayley graphs of a rectangular group to be isomorphic to each other, (2) a necessary and sufficient condition for a generalized Cayley graph of a rectangular group to be (strong) connected, (3) a necessary and sufficient condition for the colour-preserving automorphism group of such a graph to be vertex-transitive, and (4) a sufficient condition for the automorphism group of such a graph to be vertex-transitive.