Strongly regular edge-transitive graphs

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Morris strongly regular edge-transitive.pdf(266.56 KB)
Date
2009
Authors
Morris, Joy
Praeger, Cheryl E.
Spiga, Pablo
Journal Title
Journal ISSN
Volume Title
Publisher
Drustvo Matematikov, Fizikov in Astronomov
Abstract
In this paper, we examine the structure of vertex- and edge-transitive strongly regular graphs,using normal quotient reduction. We show that their reducible graphs in this family have quasi primitive 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
Description
Open access, licensed under Creative Commons
Keywords
Strongly regular graphs , Vertex-transitive graphs , Edge-transitive graphs , Normal quotient reduction , Automorphism group
Citation
Morris, J., Praeger, C. E., & Spiga, P. (2009). Strongly regular edge-transitive graphs. Ars Mathematica Contemporanea, 2(2), 137-155
URI
https://hdl.handle.net/10133/5165
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Morris, Joy