NORMAL EDGE-TRANSITIVE CIRCULANT GRAPHS

  • Sim, Hyo-Seob (Division of Mathemtical Sciences, Pukyoung National University) ;
  • Kim, Young-Won (DIVISION OF MATHEMATICAL SCIENCES, PUKYONG NATIONAL UNIVERSITY)
  • Published : 2001.05.01

Abstract

A Cayley graph of a finite group G is called normal edge-transitive if its automorphism group has a subgroup which both normalized G and acts transitively on edges. In this paper, we consider Cayley graphs of finite cyclic groups, namely, finite circulant graphs. We characterize the normal edge-transitive circulant graphs and determine the normal edge-transitive circulant graphs of prime power order in terms of lexicographic products.

Keywords

References

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