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Emergent properties in social networks with higher-order interactions

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  • Oh, Soo Min
  • Lee, Yongsun
  • Kahng, Byungnam

Abstract

This work develops mathematically tractable percolation models to explore emergent properties in a coauthorship network, which is a type of social network with higher-order interactions. The coauthorship network, consisting of papers and their coauthors, can be described by a simplicial complex (SC) representation. Empirical data for coauthorship considered in this work confirm that the dimension of a simplex for a paper and its coauthors follows a Poisson distribution. To describe this system, we first introduce homogeneous growing scale-free SCs (GSFSCs) with simplexes of uniform dimension stochastically established. We then extend the models to data-driven heterogeneous GSFSC models with simplexes dimensioned by the Poisson distribution. We finally confirm that these two types of models undergo infinite-order phase transitions, and the heterogeneous GSFSC behaves like the homogeneous GSFSC with simplexes dimensioned by the average of the considered Poisson distribution. These findings are anticipated to provide insight for investigating emergent properties in complex systems with higher-order interactions.

Suggested Citation

  • Oh, Soo Min & Lee, Yongsun & Kahng, Byungnam, 2025. "Emergent properties in social networks with higher-order interactions," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006629
    DOI: 10.1016/j.chaos.2025.116649
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    References listed on IDEAS

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    1. Peng Liu & Haoxiang Xia, 2015. "Structure and evolution of co-authorship network in an interdisciplinary research field," Scientometrics, Springer;Akadémiai Kiadó, vol. 103(1), pages 101-134, April.
    2. M. Mitrović & G. Paltoglou & B. Tadić, 2010. "Networks and emotion-driven user communities at popular blogs," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 77(4), pages 597-609, October.
    3. Réka Albert & Hawoong Jeong & Albert-László Barabási, 1999. "Diameter of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 130-131, September.
    4. H. Jeong & B. Tombor & R. Albert & Z. N. Oltvai & A.-L. Barabási, 2000. "The large-scale organization of metabolic networks," Nature, Nature, vol. 407(6804), pages 651-654, October.
    5. D. S. Callaway & J. E. Hopcroft & J. M. Kleinberg & M. E. J. Newman & S. H. Strogatz, 2001. "Are Randomly Grown Graphs Really Random?," Working Papers 01-05-025, Santa Fe Institute.
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