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Abstract

This bachelor thesis explores higer-order networks that enable the representation of complex systems with multilateral interactions through hypergraphs and simplicial complexes, which are not limited to pairwise interactions unlike classic graphs. This thesis analyzes real collaborative networks with emphasis on the latest characteristics including simpliciality, quad clustering coefficient and correlations between various metrics, providing a comprehensive view of structural properties ofhigher-order networks and their potential in~real world applications.

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Subject(s)

higher-order networks, hypergraphs, simplicial complexes, simpliciality, clustering coefficient, bipartite graphs, downward closure, collaboration networks, centralities

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