Geodesic
Odd automorphisms in vertex-transitive graphs
Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 427-437.

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An automorphism of a graph is said to be even/odd if it acts on the set of vertices as an even/odd permutation. In this article we pose the problem of determining which vertex-transitive graphs admit odd automorphisms. Partial results for certain classes of vertex-transitive graphs, in particular for Cayley graphs, are given. As a consequence, a characterization of arc-transitive circulants without odd automorphisms is obtained.
DOI : 10.26493/1855-3974.1046.980
Keywords: Graph, vertex-transitive, automorphism group, even permutation, odd permutation 
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Ademir Hujdurović; Klavdija Kutnar; Dragan Marušič. Odd automorphisms in vertex-transitive graphs. Ars Mathematica Contemporanea, Tome 10 (2016) no. 2, pp. 427-437. doi : 10.26493/1855-3974.1046.980. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1046.980/

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