Characterizing cycle structure in complex networks release_3scqcchptvcbjccledc5ig7cly

by Tianlong Fan, Linyuan Lü, Dinghua Shi, Tao Zhou

Released as a article .

2021  

Abstract

Cycle is the simplest structure that brings redundant paths in network connectivity and feedback effects in network dynamics. Focusing on cycle structure, this paper defines a new matrix, named cycle number matrix, to represent cycle information of a network, and an index, named cycle ratio, to quantify the node importance. Experiments on real networks suggest that cycle ratio contains rich information in addition to well-known benchmark indices, for example, the node rankings by cycle ratio are largely different from rankings by degree, H-index, coreness, betweenness and articulation ranking, while the rankings by degree, H-index, coreness are very similar to each other. Extensive experiments on identifying vital nodes that maintain network connectivity, facilitate network synchronization and maximize the early reach of spreading show that cycle ratio is competitive to betweenness and overall better than other benchmarks. We believe the in-depth analyses on cycle structure may yield novel insights, metrics, models and algorithms for network science.
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Type  article
Stage   submitted
Date   2021-04-19
Version   v2
Language   en ?
arXiv  2001.08541v2
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