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

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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 $p$.