COMPUTING THE EIGENVALUES OF CAYLEY GRAPHS OF ORDER p2q

Author(s):

M. Ghorbani * , A. Seyyed Hadi , F. Nowroozi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

symmetric graph , Cayley graph , normal graph , arc-transitive graph

Language:
English
Published:
Journal of Algebraic Systems, Volume:7 Issue: 2, Winter-Spring 2020
Pages:
189 to 203
https://www.magiran.com/p2040388  
سامانه نویسندگان
  • Ghorbani، Modjtaba
    Corresponding Author (1)
    Ghorbani, Modjtaba
    Professor Mathematics, Shahid Rajaee Teacher Training University, Tehran, Iran
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