On A Rough Cayley Graph Related to Conjugacy Classes

Ali Asghar Talebi; S. Omidbakhsh Amiri

doi:10.22342/jims.26.3.681.275-285

Ali Asghar Talebi ⁽¹⁾ , S. Omidbakhsh Amiri ⁽²⁾

(1) Department of mathematics, University of Mazandaran, babolsar, Iran, Iran, Islamic Republic of,

(2) Department of mathematics, University of Mazandaran, babolsar, Iran

https://doi.org/10.22342/jims.26.3.681.275-285

Issue
VOLUME 26 NUMBER 3 (NOVEMBER 2020)

Submitted
September 10, 2017

Accepted
October 9, 2018

Published
November 5, 2020

Keywords:

Rough sets, Cayley rough graph, Pseudo-Cayley graph, Conjugacy classes

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Abstract

In this paper, we discuss concepts of lower and upper approximations edge Cayley graphs of Cayley graphs with respect to conjugacy classes. Also, we expand rough approximation to pseudo-Cayley graphs and introduce concept of lower and upper approximations vertex pseudo-Cayley graphs of them with respect to a conjugacy classes. In the following, we discuss the properties of automorphisms in the Cayley rough graphs.

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Authors

Ali Asghar Talebi

Department of mathematics, University of Mazandaran, babolsar, Iran

a.talebi@umz.ac.ir (Primary Contact)

S. Omidbakhsh Amiri

Department of mathematics, University of Mazandaran, babolsar, Iran

Talebi, A. A., & Amiri, S. O. (2020). On A Rough Cayley Graph Related to Conjugacy Classes. Journal of the Indonesian Mathematical Society, 26(3), 275–285. https://doi.org/10.22342/jims.26.3.681.275-285