The concept of energy of an Intuitionistic Fuzzy Graph is extended to dominating Energy in operations on Intuitionistic Fuzzy Graph. In this paper, We have obtained the value of dominating Energy in different operations such as complement, Union, Join, Cartesian product and composition between two intuitionistic Fuzzy graphs. Also we study the relation between the dominating Energy in the operations on two Intuitionistic Fuzzy Graphs.

Vijayaraghavan R

Department of Chemistry

School of Advanced Sciences

Vellore Campus

Sharief Basha S

Department of Mathematics

Kalimulla A

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

International Journal of Engineering & Technology

In this paper, we introduce the Max-Min intuitionistic laplacian fuzzy matrix ML(G) of an intuitionistic fuzzy graph. Also defined the extreme laplacian energy of ML(G). We also give the explicit expression for the coefficients of the characteristic polynomial of ML(G). These concepts are illustrated with real time examples. © 2016, International Journal of Pharmacy and Technology. All rights reserved.

International Journal of Pure and Apllied Mathematics

MAX-MIN INTUITIONISTIC FUZZY MATRIX OF AN INTUITIONISTIC FUZZY GRAPH

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.

Indian Journal of Science and Technology

Laplacian Energy of an Intuitionistic Fuzzy Graph

Discussiones Mathematicae Graph Theory

Comparing eccentricity-based graph invariants

Intelligent Pervasive Computing Systems for Smarter Healthcare

Bounds of Spreading Rate of Virus for a Network Through an Intuitionistic Fuzzy Graph

Advances in Fuzzy Sets and Systems

SOME PROPERTIES ON OPERATIONS OF FUZZY GRAPH

Dominating Energy of Operations on Intuitionistic Fuzzy Graphs

Journal	International Journal of Engineering & Technology
Publisher	Science Publishing Corporation
ISSN	2227524X
Open Access	No