Computer Science ›› 2015, Vol. 42 ›› Issue (11): 188-190.doi: 10.11896/j.issn.1002-137X.2015.11.039

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Approximating Triangle Counting Based on Sampling in Complex Networks

HUANG Qu-zhi and ZHANG Jun-chao   

  • Online:2018-11-14 Published:2018-11-14

Abstract: Counting of triangles in complex networks is the basis for research on homophily and transitivity.In order to improve the performance of triangles counting,this paper proposed a sampling based approximating triangle counting algorithm.Firstly,we sampled every edge in a graph with constant probability,and counted the number of triangles in the sub-graph.Secondly,based on probability theory of sampling,we approximated the number of triangles in the original graph with the induced sub-graph.Finally,we analyzed the mean and variance of our proposed sampling method,and gave its corresponding speedup.Theoretical analysis and experiments show that, compared with the classic node iteration approach,the proposed algorithm improves the execution time a lot while keeping high accuracy,and thus is more suitable for triangle counting based applications in large scale networks.

Key words: Complex networks,Sampling,Triangle counting,Homophily,Approximation algorithm

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