Centrality measures in simplicial complexes: Applications of topological data analysis to network science

作者：

Highlights：

• Centrality measures in simplicial complexes.

• Degree centrality of a simplex, walks and distance in a simplicial complex.

• Simplicial clustering coefficient.

• Applications of Topological Data Analysis to Network Science.

• Collaborative simplicial communities in complex networks.

• Higher-order connectivity in complex networks.

摘要

•Centrality measures in simplicial complexes.•Degree centrality of a simplex, walks and distance in a simplicial complex.•Simplicial clustering coefficient.•Applications of Topological Data Analysis to Network Science.•Collaborative simplicial communities in complex networks.•Higher-order connectivity in complex networks.

论文关键词：Complex networks,Simplicial complexes,Clustering coefficient,Topological data analysis,Network science,Statistical mechanics

论文评审过程：Received 13 August 2019, Revised 15 April 2020, Accepted 26 April 2020, Available online 12 May 2020, Version of Record 12 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125331