Higher-Order Components Dictate Higher-Order Contagion Dynamics in Hypergraphs

Jung Ho Kim, K. I. Goh

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

The presence of the giant component is a necessary condition for the emergence of collective behavior in complex networked systems. Unlike networks, hypergraphs have an important native feature that components of hypergraphs might be of higher order, which could be defined in terms of the number of common nodes shared between hyperedges. Although the extensive higher-order component (HOC) could be witnessed ubiquitously in real-world hypergraphs, the role of the giant HOC in collective behavior on hypergraphs has yet to be elucidated. In this Letter, we demonstrate that the presence of the giant HOC fundamentally alters the outbreak patterns of higher-order contagion dynamics on real-world hypergraphs. Most crucially, the giant HOC is required for the higher-order contagion to invade globally from a single seed. We confirm it by using synthetic random hypergraphs containing adjustable and analytically calculable giant HOC.

Original languageEnglish
Article number087401
JournalPhysical review letters
Volume132
Issue number8
DOIs
Publication statusPublished - 2024 Feb 23

Bibliographical note

Publisher Copyright:
© 2024 American Physical Society.

ASJC Scopus subject areas

  • General Physics and Astronomy

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