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We investigate the representation of measures of network centrality using aframework that blends a social network representation with the succintformalism of cooperative skill games. We discuss the expressiveness of the newframework and highlight some of its advantages, including a fixed-parametertractability result for computing centrality measures under suchrepresentations. As an application we introduce new network centrality measuresthat capture the extent to which neighbors of a certain node can help itcomplete relevant tasks.

It's Not Whom You Know, It's What You (or Your Friends) Can Do: Succint Coalitional Frameworks for Network Centralities