Iterated local transitivity model for signed social networks

  • Deepa Sinha
  • Deepakshi Sharma
Original Paper


In this paper, we generalize the iterated local transitivity (ILT) model for online social networks for signed networks. Signed networks focus on the type of relations (friendship or enmity) between the vertices (members of online social networks). The ILT model for signed networks provide an insight into how networks react to the addition of clone vertex. In this model, at each time step t and for already existing vertex x, a new vertex (clone) \(x'\) is added which joins to x and neighbors of x. The sign of new edge \(yx', \ y \in N[x]\) neighborhood of x is defined by calculating the number of positive and negative neighbors of x. We also discuss properties such as balance and clusterability, sign-compatibility and C-sign-compatibility.


Social network Signed social network Local transitivity model Marked signed graph Neighborhood Balance Sign-compatibility Clusterability Algorithm 

Mathematics Subject Classification

05C22 05C76 05C85 


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of MathematicsSouth Asian UniversityChanakyapuriIndia

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