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JOURNALS // Contributions to Game Theory and Management // Archive

Contributions to Game Theory and Management, 2024 Volume 17, Pages 25–37 (Mi cgtm458)

Clique based centrality measure in hypergraphs

Ruolin Huang, Anna Tur

St. Petersburg State University, 7/9, Universitetskaya nab., St. Petersburg, 199034, Russia

Abstract: This paper presents a clique-based centrality measure for hypergraphs, using the Shapley value to evaluate node centrality in multi-way interactions. The proposed method identifies critical intersection nodes and provides insights into the roles of peripheral nodes in different hypergraph structures. Experimental results on various hypergraphs demonstrate the method's applicability and stability under different scaling factors

Keywords: hypergraph, cooperative game, Shapley value, centrality measure, clique, socio-philosophical analysis.

Language: English

DOI: 10.21638/11701/spbu31.2024.03



© Steklov Math. Inst. of RAS, 2025