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• W2972608940 abstract "The main result of this paper is that, if $Gamma$ is a finite connected $4$-valent arc-transitive graph, then either $Gamma$ is part of a well-understood family of graphs, or every non-identity automorphism of $Gamma$ fixes at most $1/3$ of the vertices. As a corollary, we get a similar result for $3$-valent vertex-transitive graphs. Based on these results we propose a conjecture on the number of fixed points of non-identity automorphisms of vertex-transitive graphs of bounded valency." @default.
• W2972608940 created "2019-09-19" @default.
• W2972608940 creator A5025392880 @default.
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• W2972608940 date "2019-09-12" @default.
• W2972608940 modified "2023-09-29" @default.
• W2972608940 title "On the number of fixed points of automorphisms of vertex-transitive graphs of bounded valency" @default.
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