On different kinds of arcs in interval valued fuzzy graphs
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DOI:
https://doi.org/10.26637/MJM0702/0025Abstract
Type I strong arcs, Type II strong arcs, left feeble arcs, right feeble arcs and weak arcs in an Interval Valued Fuzzy Graph (IVFG) are introduced in this paper. We obtain a characterization of weak arcs. If every two arcs are comparable in an IVFG, then it contains only α strong arcs and weak arcs. An arc in an IVFG is a weak arc if and only if it is the unique weakest arc of at least one cycle in it.
Keywords:
Interval valued fuzzy graph, Comparable arcs, Strong arc, ArcMathematics Subject Classification:
Mathematics- Pages: 309-313
- Date Published: 01-04-2019
- Vol. 7 No. 02 (2019): Malaya Journal of Matematik (MJM)
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