Tetravalent vertex transitive graphs of order $4p^2$
Department of Mathematics, Urmia university, Urmia, Iran
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 $p$.