On Total Regularity of the Cartesian product of two Interval – valued Fuzzy Graphs

Ann Mary Philp

doi:https://doi.org/10.14445/22315373/IJMTT-V52P522

International Journal of Mathematics Trends and Technology

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Volume 52 | Number 3 | Year 2017 | Article Id. IJMTT-V52P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P522

On Total Regularity of the Cartesian product of two Interval – valued Fuzzy Graphs

Ann Mary Philp

Abstract

In this paper, we define the total degree of a vertex in the Cartesian product of two interval – valued fuzzy graphs (IVFG) and investigate the total regularity of the Cartesian product. In general, the Cartesian product of two totally regular interval – valued fuzzy graphs need not be a totally regular interval – valued fuzzy graph (TRIVFG). The necessary and sufficient conditions for the Cartesian product of two TRIVFGs to be totally regular under some restrictions are obtained.

Keywords

Interval – valued fuzzy graph, Cartesian Product, Total regularity.

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Citation :

Ann Mary Philp, "On Total Regularity of the Cartesian product of two Interval – valued Fuzzy Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 3, pp. 163-170, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P522