4 papers
An Approximate-Master-Equation Formulation of the Watts Threshold Model on Hypergraphs
Leah A. Keating, Kwang-Il Goh, Mason A. Porter
In traditional models of behavioral or opinion dynamics on social networks, researchers suppose that all interactions occur between pairs of individuals. However, in reality, socia…
Competing heterogeneities shape ordering via higher-order interactions
Gangmin Son, Federico Battiston, Deok-Sun Lee +1
Higher-order interactions admit richer structural heterogeneity than pairwise networks. To understand how heterogeneity impacts collective phenomena we develop a framework based on…
Competition between group interactions and nonlinearity in voter dynamics on hypergraphs
Jihye Kim, Deok-Sun Lee, Byungjoon Min +3
Social dynamics are often driven by both pairwise (i.e., dyadic) relationships and higher-order (i.e., polyadic) group relationships, which one can describe using hypergraphs. To g…
No-exclaves percolation on random networks
Byungjoon Min, Eun-Kyu Park, Sang-Hwan Gwak +1
No-exclaves percolation (NExP) is a nonlocal percolation process in which the components are formed not only by the connected occupied nodes but also by the agglomeration of empty…