Mathematical properties of Q-measures

作者：

Highlights：

• An external Q-measure complementing the previously defined local and global Q-measure is introduced.

• The global Q-measure can be rewritten as a convex decomposition of the local and external Q-measures.

• Relations are proven between the values of the global, the local and the external Q-measure and betweenness centrality.

• We formally characterize exactly when Q-measures obtain the maximal value 1.

摘要

•An external Q-measure complementing the previously defined local and global Q-measure is introduced.•The global Q-measure can be rewritten as a convex decomposition of the local and external Q-measures.•Relations are proven between the values of the global, the local and the external Q-measure and betweenness centrality.•We formally characterize exactly when Q-measures obtain the maximal value 1.

论文关键词：Network theory,Q-measures,Betweenness centrality

论文评审过程：Received 16 May 2013, Revised 13 June 2013, Accepted 17 June 2013, Available online 10 July 2013.

论文官网地址：https://doi.org/10.1016/j.joi.2013.06.002