On m- Neighbourly irregular fuzzy graphs
Journal: International Journal of Mathematics and Soft Computing (Vol.5, No. 2)Publication Date: 2015.07.10
Authors : N R Santhi Maheswari; C Sekar;
Page : 145-153
Keywords : total degree; fuzzy graph; regular fuzzy graph; totally regular fuzzy graph; totally irregular fuzzy graphs; d2 -degree; total d2- degree; irregular fuzzy graph.;
Abstract
In this paper, dm-degree and total dm-degree of a vertex in fuzzy graphs, m- neighbourly irregular fuzzy graphs and m- neighbourly totally irregular fuzzy graphs are introduced. Some properties on m-neighbourly irregular fuzzy graphs are also discussed in this paper. Comparative study between m- neighbourly irregular fuzzy graphs and m- neighbourly totally irregular fuzzy graphs is done and m- neighbourly irregularity on some fuzzy graphs whose underlying crisp graphs are a cycle and a path is also studied.
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