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Ali Asghar Talebi
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Mathematics

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Regularity Of Cubic Graph With Application Kishore Kumar Krishna; Hossein Rashmanlou; Ali Asghar Talebi; Farshid Mofidnakhaei
Journal of the Indonesian Mathematical Society Volume 25 Number 1 (March 2019)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.25.1.607.1-15

Abstract

A cubic graph is a generalized structure of a fuzzy graph that gives moreprecision, flexibility and compatibility to a system when compared with systems thatare designed using fuzzy graphs. In this paper, some properties of an edge regularcubic graph are given. Particularly, strongly regular, edge regular and bi-regularcubic graphs are defined and the necessary and sucient condition for a cubic graphto be strongly regular is studied. Likewise, we have introduced a partially edgeregular cubic graph and fully edge regular cubic graph with suitable illustrations.Finally, we gave an application of cubic digraph in travel time.
On A Rough Cayley Graph Related to Conjugacy Classes Ali Asghar Talebi; S. Omidbakhsh Amiri
Journal of the Indonesian Mathematical Society VOLUME 26 NUMBER 3 (NOVEMBER 2020)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.26.3.681.275-285

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.
Co-Authors Farshid Mofidnakhaei Hossein Rashmanlou Kishore Kumar Krishna S. Omidbakhsh Amiri