Abstract
Abstract: In this paper we defined a new fuzzy graph named Double layered complete fuzzy graph. (DLCFG). The double layered complete fuzzy graph gives a 3-D structure. Further we introduced vertex colouring of the double layered complete fuzzy graph using α-cut. Keywords: Graph theory, Fuzzy graph, colouring of graphs, double layered fuzzy graph, complete fuzzy graph, alpha cut, colouring of double layered fuzzy graph, colouring of double layered complete fuzzy using alpha cut.
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