Abstract

Social structures and interpersonal relationships may be represented as social networks consisting of nodes corresponding to people and links between pairs of nodes corresponding to relationships between those people. Social networks can be constructed by examining actual groups of people and identifying the relationships of interest between them. However, there are circumstances where such empirical social networks are unavailable or their use would be undesirable. Consequently, methods to generate synthetic social networks that are not identical to real-world networks but have desired structural similarities to them have been developed. A process for generating synthetic social networks based on assigning human personality types to the nodes and then adding links between nodes based on the compatibility of the nodes’ personalities was developed. Two new algorithms, Probability Search and Compatibility-Degree Matching, for finding an effective assignment of personality types to the nodes were developed, implemented, and tested. The two algorithms were evaluated in terms of realism, i.e., the similarity of the generated synthetic social to exemplar real-world social networks, for 14 different real-world social networks using 20 standard quantitative network metrics. Both search algorithms produced networks that were, on average, more realistic than a standard network generation algorithm that does not use personality, the Configuration Model. The algorithms were also evaluated in terms of computational complexity.

Highlights

  • Introduction and motivationSocial network analysis is the study of social structures and relationships

  • The stochastic block model (SBM) may have the most similarity to the new methods developed in this work, and so we describe it in a bit more detail

  • Absolute differences between the metrics of the exemplar real-world social network and the mean metrics of the synthetic networks were calculated for networks generated by the Probability Search (PS) and Configuration-Degree Matching (CDM) algorithms and compared to networks generated by the Configuration Model (CM) algorithm

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Summary

Introduction

Introduction and motivationSocial network analysis is the study of social structures and relationships. Each entry in the table is the probability of a link forming in a social network between two nodes if the nodes’ associated personality types are those of the entry’s row and column.

Results
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