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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