Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-23T15:10:56.382Z Has data issue: false hasContentIssue false
  • English
  • Français

SOLUTION TO A QUESTION ON A FAMILY OF IMPRIMITIVE SYMMETRIC GRAPHS

Part of: Graph theory

Published online by Cambridge University Press:  18 June 2010

GUANGJUN XU  and
SANMING ZHOU
GUANGJUN XU*
Affiliation:
Department of Mathematics and Statistics, The University of Melbourne, Parkville, Vic 3010, Australia (email: gx@ms.unimelb.edu.au)
SANMING ZHOU
Affiliation:
Department of Mathematics and Statistics, The University of Melbourne, Parkville, Vic 3010, Australia (email: smzhou@ms.unimelb.edu.au)
*
✉For correspondence; e-mail: gx@ms.unimelb.edu.au
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Keywords

symmetric grapharc-transitive graphquotient graph

MSC classification

Secondary: 05C25: Graphs and abstract algebra (groups, rings, fields, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 1 , August 2010 , pp. 79 - 83
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

Footnotes

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

References

[1]Gardiner, A. and Praeger, C. E., ‘A geometrical approach to imprimitive graphs’, Proc. London Math. Soc. (3) 71 (1995), 524–546.CrossRefGoogle Scholar
[2]Iranmanesh, M. A., Praeger, C. E. and Zhou, S., ‘Finite symmetric graphs with two-arc transitive quotients’, J. Combin. Theory (Ser. B) 94 (2005), 79–99.CrossRefGoogle Scholar
[3]Li, C. H., Praeger, C. E. and Zhou, S., ‘A class of finite symmetric graphs with 2-arc transitive quotients’, Math. Proc. Cambridge Philos. Soc. 129 (2000), 19–34.CrossRefGoogle Scholar
[4]Li, C. H., Praeger, C. E. and Zhou, S., ‘Imprimitive symmetric graphs with cyclic blocks’, European J. Combin. 31 (2010), 362–367.CrossRefGoogle Scholar
[5]Lu, Z. and Zhou, S., ‘Finite symmetric graphs with 2-arc transitive quotients (II)’, J. Graph Theory 56 (2007), 167–193.CrossRefGoogle Scholar
[6]Zhou, S., ‘Constructing a class of symmetric graphs’, European J. Combin. 23 (2002), 741–760.CrossRefGoogle Scholar
[7]Zhou, S., ‘Almost covers of 2-arc transitive graphs’, Combinatorica 24 (2004), 731–745; [Erratum: 27 (2007), 745–746].CrossRefGoogle Scholar