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Rashmanlou, Hossein
IndoMS
Mathematics

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Regularity Of Cubic Graph With Application Krishna, Kishore Kumar; Rashmanlou, Hossein; Talebi, Ali Asghar; Mofidnakhaei, Farshid
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.
Co-Authors Krishna, Kishore Kumar Mofidnakhaei, Farshid Talebi, Ali Asghar