Tetravalent vertex transitive graphs of order $4p^2$

Mohsen Ghasemi
Department of Mathematics, Urmia university, Urmia, Iran

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Minisymposium: STRUCTURE AND PROPERTIES OF VERTEX-TRANSITIVE GRAPHS

Content: A graph is vertex-transitive if its automorphism group acts transitively on vertices of the graph. A vertex-transitive graph is a Cayley graph if its automorphism group contains a subgroup acting regularly on its vertices. In this present talk, tetravalent vertex-transitive non-Cayley graphs of order $4p^2$ are classified for each prime $p$.

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