Rendiconti del Circolo Matematico di Palermo, Year (2018-12)

Title : ( Automorphism groups of some generalized Cayley graphs )

Authors: Mohsen Alinejad , Kazem Khashyarmanesh ,

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Abstract

Let R be a commutative ring with identity element. Graph T^n_R is defined with vertex set R^n \\\\{0} and two distinct vertices X and Y are adjacent if and only if there exists an n×n lower triangular matrix A with non-zero diagonal entries such that AX^T = Y ^T or AY^ T = X^T. By B^T , we mean transpose of matrix B. If R is a semigroup with respect to multiplication and n = 1, then T^1_R is the undirected Cayley graph. In this paper, a prime number p, we find the clique number and automorphism group of n R, where R = Zp^2 or R = Zp^3 .

Keywords

Automorphism group · Clique number · Cayley graph
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@article{paperid:1073301,
author = {Alinejad, Mohsen and Khashyarmanesh, Kazem},
title = {Automorphism groups of some generalized Cayley graphs},
journal = {Rendiconti del Circolo Matematico di Palermo},
year = {2018},
month = {December},
issn = {0009-725X},
keywords = {Automorphism group · Clique number · Cayley graph},
}

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%0 Journal Article
%T Automorphism groups of some generalized Cayley graphs
%A Alinejad, Mohsen
%A Khashyarmanesh, Kazem
%J Rendiconti del Circolo Matematico di Palermo
%@ 0009-725X
%D 2018

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