Automorphism groups of rational circulant graphs

Mikhail Klin, István Kovács

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

The paper concerns the automorphism groups of Cayley graphs over cyclic groups which have a rational spectrum (rational circulant graphs for short). With the aid of the techniques of Schur rings it is shown that the problem is equiva- lent to consider the automorphism groups of orthogonal group block structures of cyclic groups. Using this observation, the required groups are expressed in terms of generalized wreath products of symmetric groups.

Original languageEnglish
JournalElectronic Journal of Combinatorics
Volume19
DOIs
StatePublished - 1 Jan 2012

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics

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