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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 1 | Year 2023 | Article Id. IJMTT-V69I1P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I1P503

Steiner Domination in Fuzzy Graphs


G. Priscilla Pacifica, J. Jenit Ajitha
Received Revised Accepted Published
19 Nov 2022 25 Dec 2022 05 Jan 2023 14 Jan 2023
Abstract

Main objective of the article is to introduce Steiner and upper Steiner domination in fuzzy graphs with real life application. We define fuzzy Steiner set for fuzzy graphs with isolated nodes and verified the mandatory and adequate condition for a fuzzy Steiner set to be minimal. We determine fuzzy Steiner dominating numbers in fuzzy graphs. Also we examine some of its characteristics.. The relationship between the fuzzy Steiner domination number of a fuzzy graph and the complement graph is obtained.

Keywords
Fuzzy Steiner set, Minimal fuzzy Steiner set, Fuzzy Steiner domination, Fuzzy upper Steiner domination, Fuzzy Steiner domination number.
References

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Citation :

G. Priscilla Pacifica, J. Jenit Ajitha, "Steiner Domination in Fuzzy Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 1, pp. 17-23, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I1P503

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