The frustum network model based on clique extension

Anthony Bonato (), Ryan Cushman (), Trent G. Marbach () and Zhiyuan Zhang ()
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Anthony Bonato: Toronto Metropolitan University
Ryan Cushman: University of Wisconsin-Eau Claire
Trent G. Marbach: Toronto Metropolitan University
Zhiyuan Zhang: Toronto Metropolitan University

Journal of Combinatorial Optimization, 2024, vol. 47, issue 5, No 8, 12 pages

Abstract: Abstract The frustum model simulates network evolution by extending cliques, which represent highly interacting groups in social networks. In each time-step, new vertices are added adjacent to existing cliques of prescribed order. The model exhibits several features of social networks, such as densification, short distances, bad spectral expansion, and high local clustering.

Keywords: Network model; Graphs; Cliques; Transitivity; Densification; Small world property; 05C82; 05C75 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10878-024-01178-y

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