The Split Edge Domination in Fuzzy Graphs

C.Y.Ponnappan; S. Basheer Ahamed; P.Surulinathan

doi:https://doi.org/10.14445/22315373/IJMTT-V18P505

International Journal of Mathematics Trends and Technology

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Volume 18 | Number 1 | Year 2015 | Article Id. IJMTT-V18P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V18P505

The Split Edge Domination in Fuzzy Graphs

C.Y.Ponnappan, S. Basheer Ahamed, P.Surulinathan

Abstract

An edge dominating set D of a fuzzy graph G= (σ, µ) is a split edge dominating set if the induced fuzzy sub graph H= (, σ`, µ`) is disconnected. The split edge domination number γ`s(G) or γ`s is the minimum fuzzy cardinality of a split edge dominating set. In this paper we study a split edge dominating set of fuzzy graphs and investigate the relationship of γ`s (G) with other known parameter of G.

Keywords

Fuzzy graphs, Fuzzy domination, Fuzzy edge domination, Fuzzy split edge domination number.

References

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Citation :

C.Y.Ponnappan, S. Basheer Ahamed, P.Surulinathan, "The Split Edge Domination in Fuzzy Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 18, no. 1, pp. 26-31, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V18P505