An Ant Based Particle Swarm Optimization Algorithm for Maximum Clique Problem in Social Networks

Author(s):  
Mohammad Soleimani-pouri ◽  
Alireza Rezvanian ◽  
Mohammad Reza Meybodi
Author(s):  
Dalila Tayachi ◽  
Marwa Khemiri

This article tackles the maximum clique problem MCP known as an NP-hard graph problem. The maximum clique problem consists in finding in an undirected graph a complete sub-graph (clique) of maximum cardinality. As the MCP is a classical graph problem extensively studied, the main contribution of this paper is to use for the first time particle swarm to solve it. A hybrid particle swarm optimization algorithm HPSOD is proposed. First a PSO algorithm is designed, based on a sub-graph extraction approach named circular-arc graph CAG, then a local search heuristic is integrated to enhance its performance. Experimental tests carried out on DIMACS benchmarks show a globally good performance of the proposed algorithm and that it outperforms many existent approaches.


2015 ◽  
Vol 15 (2) ◽  
pp. 23-35 ◽  
Author(s):  
Li Zhao Xing ◽  
He Li Le ◽  
Zhang Hui

AbstractExploration of the structural balance of social networks is of great importance for theoretical analysis and practical use. This study modeled the structural balance of social networks as a mathematical optimization problem by using swarm intelligence, and an efficient discrete particle swarm optimization algorithm was proposed to solve the modeled optimization problem. To take advantage of the topologies of social networks in the algorithm design, the discrete representation of the particle was redefined, and the discrete particle update principles were redesigned. To validate the efficiency of the proposed algorithm, experiments were conducted using synthetic and real-world social networks. The experiments demonstrate that the proposed algorithm not only achieves a balanced social network structure, but also automatically detects the community topology of networks.


2012 ◽  
Vol 23 (7) ◽  
pp. 1805-1815 ◽  
Author(s):  
Xin-Min TAO ◽  
Fu-Rong LIU ◽  
Yu LIU ◽  
Zhi-Jing TONG

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