Title
Strongly regular edge-transitive graphs
Abstract
In this paper, we examine the structure of vertex- and edge-transitive strongly regular graphs, using normal quotient reduction. We show that the irreducible graphs in this family have quasiprimitive automorphism groups, and prove (using the Classification of Finite Simple Groups) that no graph in this family has a holomorphic simple automorphism group. We also find some constraints on the parameters of the graphs in this family that reduce to complete graphs.
Year
DOI
Venue
2009
10.26493/1855-3974.109.97f
ARS MATHEMATICA CONTEMPORANEA
Keywords
Field
DocType
Strongly regular graphs,vertex-transitive graphs,edge-transitive graphs,normal quotient reduction,automorphism group
Graph automorphism,Topology,Discrete mathematics,Strongly regular graph,Combinatorics,Indifference graph,Two-graph,Chordal graph,Cograph,Symmetric graph,1-planar graph,Mathematics
Journal
Volume
Issue
ISSN
2
2
1855-3966
Citations 
PageRank 
References 
2
0.95
3
Authors
3
Name
Order
Citations
PageRank
Joy Morris17816.06
Cheryl E. Praeger2545100.88
Pablo Spiga37118.37