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arXiv:2402.16782 (physics)
[Submitted on 26 Feb 2024 (v1), last revised 9 Sep 2024 (this version, v3)]

Title:Multiplex measures for higher-order networks

Authors:Quintino Francesco Lotito, Alberto Montresor, Federico Battiston
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Abstract:A wide variety of complex systems are characterized by interactions of different types involving varying numbers of units. Multiplex hypergraphs serve as a tool to describe such structures, capturing distinct types of higher-order interactions among a collection of units. In this work, we introduce a comprehensive set of measures to describe structural connectivity patterns in multiplex hypergraphs, considering scales from node and hyperedge levels to the system's mesoscale. We validate our measures with three real-world datasets: scientific co-authorship in physics, movie collaborations, and high school interactions. This validation reveals new collaboration patterns, identifies trends within and across movie subfields, and provides insights into daily interaction dynamics. Our framework aims to offer a more nuanced characterization of real-world systems marked by both multiplex and higher-order interactions.
Comments: Arxiv version. Published in Applied Network Science
Subjects: Physics and Society (physics.soc-ph); Social and Information Networks (cs.SI)
Cite as: arXiv:2402.16782 [physics.soc-ph]
  (or arXiv:2402.16782v3 [physics.soc-ph] for this version)
  https://doi.org/10.48550/arXiv.2402.16782
Journal reference: Appl Netw Sci 9, 55 (2024)
Related DOI: https://doi.org/10.1007/s41109-024-00665-9

Submission history

From: Quintino Francesco Lotito [view email]
[v1] Mon, 26 Feb 2024 17:56:21 UTC (2,008 KB)
[v2] Tue, 27 Feb 2024 15:04:53 UTC (2,014 KB)
[v3] Mon, 9 Sep 2024 09:48:59 UTC (2,503 KB)
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