Bulletin of the Australian Mathematical Society

Table of Contents - August 2010 - Volume 82, Issue 01  

Research Article

SOLUTION TO A QUESTION ON A FAMILY OF IMPRIMITIVE SYMMETRIC GRAPHS

GUANGJUN XUa1 c1 and SANMING ZHOUa2

a1 Department of Mathematics and Statistics, The University of Melbourne, Parkville, Vic 3010, Australia (email: gx@ms.unimelb.edu.au)

a2 Department of Mathematics and Statistics, The University of Melbourne, Parkville, Vic 3010, Australia (email: smzhou@ms.unimelb.edu.au)

Abstract

We answer a recent question posed by Li et al. [‘Imprimitive symmetric graphs with cyclic blocks’, European J. Combin. 31 (2010), 362–367] regarding a family of imprimitive symmetric graphs.

(Received September 28 2009)

2000 Mathematics subject classification

  • primary 05C25; secondary 05E99

Keywords and phrases

  • symmetric graph;
  • arc-transitive graph;
  • quotient graph

Correspondence:

c1 For correspondence; e-mail: gx@ms.unimelb.edu.au

Footnotes

The first author acknowledges support of an MIFRS and an SFS from The University of Melbourne.