IJPAM: Volume 109, No. 4 (2016)

SPREADING RATE OF VIRUS BETWEEN INCOMING AND
OUTGOING LINKS OF A WEBSITE THROUGH
AN INTUITIONISTIC FUZZY GRAPH

B. Praba$^1$, G. Deepa$^2$, V.M. Chandrasekaran$^3$
$^1$SSN College of Engineering
Kalavakkam, Chennai, 603110, Tamilnadu, INDIA
$^{2,3}$School of Advanced Sciences
VIT University
Vellore, 632014, Tamilnadu, INDIA

Abstract. In this paper we analyzed the spreading rate of virus between incoming and outgoing links to a website. We have taken the website https://www.pantechsolutions.net/. This website is modeled as an intuitionistic fuzzy graph $G=(V,E,\mu,\gamma)$ by considering the navigation of the customers. In this intuitionistic fuzzy graph, the links are considered as vertices and the path of the links is considered as edges. The weightage of each edge are considered as number of visitors (membership value), number of non-visitors (non-membership) and drop off case (intuitionistic fuzzy index). For four different time periods, the four links 1. Microcontroller-boards, 2. /Log-in html, 3. / and 4. /Project kits of the given website are taken for our calculation. In this intuitionistic fuzzy graph we constructed two intuitionistic fuzzy matrices using incoming and outgoing links to $G$. The energy of these matrices along with its lower and upper bound are discussed. The spreading rate of virus of the given graph in terms of these two matrices is discussed. These concepts are illustrated with real time example.

Received: May 14, 2016

Revised: August 17, 2016

Published: October 9, 2016

AMS Subject Classification: 05C72, 05C69, 05C22

Key Words and Phrases: energy of a graph, energy of a fuzzy graph, energy of an intuitionistic fuzzy graph
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DOI: 10.12732/ijpam.v109i4.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 4
Pages: 799 - 812


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