Laplacian Energy of an Intuitionistic Fuzzy Graph

S  Sharief Basha   and E  Kartheek

doi:10.17485/ijst/2015/v8i33/79899

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Laplacian Energy of an Intuitionistic Fuzzy Graph

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i33/79899

Year: 2015, Volume: 8, Issue: 33, Pages: 1-9

Original Article

Laplacian Energy of an Intuitionistic Fuzzy Graph

S. Sharief Basha^1* and E. Kartheek²

¹Applied Algebra Division, School of Advanced Sciences, VIT University, Vellore – 632014, Tamil Nadu, India; [email protected].
² School of Advanced Sciences, VIT University, Vellore – 632014, Tamil Nadu, India; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Background/Objectives: The concept of Laplacian energy of fuzzy graph is extended to the Laplacian energy of an intuitionistic fuzzy graph. Methods/Statistical Analysis: In this paper, we defined the adjacency matrix of an intuitionistic fuzzy graph and the Laplacian energy of an intuitionistic fuzzy graph is defined in terms of its adjacency matrix. Findings: The lower and upper bound for the energy of an intuitionistic fuzzy graph are also derived and verified with suitable intuitionistic fuzzy graphs. Application/Improvements: Laplacian spectra of intutionistic fuzzy graphs may reveal more analogous results in the chemical molecules.
Keywords: Fuzzy Graph, Intuitionistic Fuzzy Graph, Intuitionistic Fuzzy Set