Abstract

The k-clique problem is identifying the largest complete subgraph of size k on a network, and it has many applications in Social Network Analysis (SNA), coding theory, geometry, etc. Due to the NP-Complete nature of the problem, the meta-heuristic approaches have raised the interest of the researchers and some algorithms are developed. In this paper, a new algorithm based on the Bat optimization approach is developed for finding the maximum k-clique on a social network to increase the convergence speed and evaluation criteria such as Precision, Recall, and F1-score. The proposed algorithm is simulated in Matlab® software over Dolphin social network and DIMACS dataset for k = 3, 4, 5. The computational results show that the convergence speed on the former dataset is increased in comparison with the Genetic Algorithm (GA) and Ant Colony Optimization (ACO) approaches. Besides, the evaluation criteria are also modified on the latter dataset and the F1-score is obtained as 100% for k = 5.

Highlights

  • Any social structure of individuals that is created based on a social relationship is called a Social Network (SN)

  • The structure of the network is dynamic and changes over time. This property is implemented by defining a monthly timestamp on network relations. It means that dolphin D­ i is not connected to dolphin D­ j in April, but they may establish a relationship in June and terminate again in September

  • In this paper, a new algorithm based on the bat optimization approach is developed for finding the maximum k-clique in social networks

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Summary

Introduction

Any social structure of individuals that is created based on a social relationship is called a Social Network (SN). A social network includes a set of people and the social relationships among them. A social network is composed of two elements: the participating entities in the relationship between these entities. Social networks are divided into two types, offline and online. Offline networks include a network of friends, a network of colleagues, or classmates. Online networks include social networks such as Facebook, Twitter, and Google + [24]

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