학술논문

COMPUTING THE EIGENVALUES OF CAYLEY GRAPHS OF ORDER p2q
Document Type
article
Source
Journal of Algebraic Systems, Vol 7, Iss 2, Pp 189-203 (2020)
Subject
symmetric graph
cayley graph
normal graph
arc-transitive graph
Mathematics
QA1-939
Language
English
ISSN
2345-5128
2345-511X
Abstract
A graph is called symmetric if its full automorphism group acts transitively on the set of arcs. The Cayley graph $Gamma=Cay(G,S)$ on group $G$ is said to be normal symmetric if $N_A(R(G))=R(G)rtimes Aut(G,S)$ acts transitively on the set of arcs of $Gamma$. In this paper, we classify all connected tetravalent normal symmetric Cayley graphs of order $p^2q$ where $p>q$ are prime numbers.