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Submitted
August 25, 2017
Accepted
May 31, 2018
Published
March 1, 2019
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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.

Keywords

Cubic graph strongly regular cubic graph bi-regular cubic graph.

Article Details

Author Biography

Hossein Rashmanlou, Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Young Researchers and Elite Club, Central Tehran Branch,Islamic Azad University, Tehran, Iran
How to Cite
Krishna, K. K., Rashmanlou, H., Talebi, A. A., & Mofidnakhaei, F. (2019). Regularity Of Cubic Graph With Application. Journal of the Indonesian Mathematical Society, 25(1), 1–15. https://doi.org/10.22342/jims.25.1.607.1-15
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