Arc domination in fuzzy graphs using strong arcs
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Abstract
In this paper, the concept of strong arc domination number is introduced by using membership values of strong
arcs in fuzzy graphs. The strong arc domination number gl
s of classes of fuzzy graphs such as complete fuzzy
graph and complete bipartite fuzzy graph, fuzzy cycle and fuzzy tree is determined. Also the relationship between
the strong arc domination number and strong arc covering number of fuzzy graphs is discussed and bounds are
obtained for the strong arc domination number of fuzzy graphs.
Keywords:
Fuzzy graph, Strong arcs, Weight of arcs, Strong domination, fuzzy trees, fuzzy cyclesMathematics Subject Classification:
Mathematics- Pages: 789-796
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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