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JOURNAL OF
ALGEBRAIC
COMBINATORICS

  Editors-in-chief: C. A. Athanasiadis, T. Lam, A. Munemasa, H. Van Maldeghem
ISSN 0925-9899 (print) • ISSN 1572-9192 (electronic)
 

A Classification of 2-Arc-Transitive Circulants

Brian Alspach , Marston D.E. Conder , Dragan Marušič and Ming-Yao Xu

DOI: 10.1023/A:1022456615990

Abstract

A graph X is k-arc-transitive if its automorphism group acts transitively on the set of k-arcs of X. A circulant is a Cayley graph of a cyclic group. A classification of 2-arc-transitive circulants is given.

Pages: 83–86

Keywords: 2-arc-transitive graph; circulant graph

Full Text: PDF

References

1. J.L. Berggren, "An algebraic characterization of symmetric graphs with p points, p an odd prime," Bull. Austral. Math. Sac. 7 (1972), 131-134.
2. C. Y. Chao, "On the classification of symmetric graphs with a prime number of vertices," Trans. Amer. Math. Soc. 158 (1971), 247-256.
3. W.T. Tutte, "On the symmetry of cubic graphs," Canad. J. Math. 11 (1959), 61-64.




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