Predicting Centrality Measures in Complex Networks Utilizing Markov Chains
Anchal Gera, Jens Dörpinghaus, Robert Rockenfeller
DOI: http://dx.doi.org/10.15439/2026F9619
Citation: Anchal Gera, Jens Dörpinghaus, Robert Rockenfeller (2026). Predicting Centrality Measures in Complex Networks Utilizing Markov Chains. In M. Bolanowski, M. Ganzha, M. Grzegorowski, L. Maciaszek, M. Paprzycki, A. Paszkiewicz, D. Ślęzak (eds), Proceedings of the 21st Conference on Computer Science and Intelligence Systems (FedCSIS). ACSIS, Vol. 49, pages 25–35.
Abstract. Centrality measures are of critical importance for the identification of influential nodes in networks. However, classical metrics such as degree and betweenness are static and thus fail to capture temporal dynamics. The present paper introduces a probabilistic framework for modelling centrality as a stochastic process using Markov chains. By discretising centrality values into states, transition probability matrices are learned from temporal data, enabling future centrality prediction. First-order and higher-order models were evaluated, with the results indicating that higher-order models improve accuracy, particularly for betweenness. The results of the study indicate that centrality is inherently dynamic and probabilistic. The proposed framework offers an interpretable method to forecast node importance and distinguish stable from volatile influencers in evolving networks.
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