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National Academy Science Letters

, Volume 41, Issue 4, pp 233–238 | Cite as

On the Properties of Square Signed Graph

  • Deepa Sinha
  • Deepakshi Sharma
Short Communication
  • 28 Downloads

Abstract

Social network analysis has been a subject of interest to many sociologists, computer scientists, psychologists and mathematicians for many centuries now. Lately another aspect of the social network, specific kind of links (friendship/enmity, trust/distrust, like/dislike) has been studied vigorously. In this paper, we try to explore and analyse these networks mathematically by taking a small subnetwork and predicting its properties and behaviour. Let \(G=(V,E)\) be a graph then square graph of G is obtained by adding to G edges which connect pairs of vertices of G at a distance two apart. In this paper we discuss few properties of square signed graphs along with their algorithms.

Keywords

Social network Signed social network Signed graph Marked signed graph Square signed graph Closed neighborhood Sign-compatibility Signed-regularity Clusterability Algorithm 

Notes

Acknowledgements

Authors wish to thank Prof Mukti Acharya and the referees for going through the paper for the suggestions and improvement of the paper.

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Copyright information

© The National Academy of Sciences, India 2018

Authors and Affiliations

  1. 1.Department of MathematicsSouth Asian UniversityNew DelhiIndia

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