Energy of Complete Fuzzy Labeling Graph through Fuzzy Complete Matching

S. Yahya Mohamad; S.Suganthi

doi:https://doi.org/10.14445/22315373/IJMTT-V58P524

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 58 | Number 3 | Year 2018 | Article Id. IJMTT-V58P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P524

Energy of Complete Fuzzy Labeling Graph through Fuzzy Complete Matching

S. Yahya Mohamad, S.Suganthi

Citation :

S. Yahya Mohamad, S.Suganthi, "Energy of Complete Fuzzy Labeling Graph through Fuzzy Complete Matching," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 3, pp. 176-181, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P524

Abstract

The matching is a set of non-adjacent edges. In this paper, a new concept of energy for matching in complete fuzzy labeling graph is introduced. A graph is said to be a complete fuzzy labeling graph if it has every pair of adjacent vertices of the fuzzy graph. Here, we also defined the adjacency matrix of complete fuzzy labeling graph through fuzzy complete matching. The energy is defined as the average of the absolute values of the adjacency matrix.

Keywords

Complete fuzzy labeling graph, complete matching, energy of graph, Spectrum and adjacency matrix.

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