TY - JOUR

T1 - Classifying Arc-Transitive Circulants of Square-Free Order

AU - Li, Cai-Heng

AU - Marusic, D.

AU - Morris, J.

PY - 2001

Y1 - 2001

N2 - A circulant is a Cayley graph of a cyclic group. Arc-transitive circulants of square-free order are classified. It is shown that an arc-transitive circulant Gamma of square-free order n is one of the following: the lexicographic product Sigma[(J) over bar (b)], or the deleted lexicographic Sigma[(K) over bar (b)]-b Sigma, where n = bm and Sigma is an arc-transitive circulant, or Gamma is a normal circulant, that is, Aut Gamma has a normal regular cyclic subgroup.

AB - A circulant is a Cayley graph of a cyclic group. Arc-transitive circulants of square-free order are classified. It is shown that an arc-transitive circulant Gamma of square-free order n is one of the following: the lexicographic product Sigma[(J) over bar (b)], or the deleted lexicographic Sigma[(K) over bar (b)]-b Sigma, where n = bm and Sigma is an arc-transitive circulant, or Gamma is a normal circulant, that is, Aut Gamma has a normal regular cyclic subgroup.

U2 - 10.1023/A:1011989913063

DO - 10.1023/A:1011989913063

M3 - Article

VL - 14

SP - 145

EP - 151

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

SN - 0925-9899

ER -