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Bounds of Extreme Energy of an Intuitionistic Fuzzy Directed Graph

  • B. Praba
  • G. DeepaEmail author
  • V. M. Chandrasekaran
  • Krishnamoorthy Venkatesan
  • K. Rajakumar
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

We are considering the website network http://www.pantechsolutions.net/ of the web navigation of the customers. This website network can be representing as an intuitionistic fuzzy directed graph by means of considering the navigation of the customers. In this intuitionistic fuzzy directed graph, the links are considering as vertices and the path between the links are considering as edges. The weightage of each edge are considering as number of visitors getting the link from one link to another link (membership value), number of visitors not getting the link, i.e. under traffic from one link to another link (non-membership value) and drop off case (intuitionistic fuzzy index). For this graph we are determining the maximum, minimum energies and its upper, lower bounds.

Keywords

Energy of a graph Energy of a fuzzy graph Energy of an intuitionistic fuzzy graph 

Notes

Acknowledgements

I wish to thank my co-authors for their kind help and support in my research work throughout this paper. My heartfelt thanks to my institution for providing me infrastructural facilities and excellent resources to carry out my research in VIT University, Vellore.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • B. Praba
    • 1
  • G. Deepa
    • 2
    Email author
  • V. M. Chandrasekaran
    • 2
  • Krishnamoorthy Venkatesan
    • 3
  • K. Rajakumar
    • 4
  1. 1.SSN College of EngineeringChennaiIndia
  2. 2.School of Advanced SciencesVIT UniversityVelloreIndia
  3. 3.College of Natural SciencesArba Minch UniversityArba MinchEthiopia
  4. 4.SCOPE, VIT UniversityVelloreIndia

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