Publications [#372531] of Fan Wei

Papers Published

1. Fox, J; Roughgarden, T; Seshadhri, C; Wei, F; Wein, N, Finding cliques in social networks: A new distribution-free model, SIAM Journal on Computing, vol. 49 no. 2 (January, 2020), pp. 448-464 [doi]
   (last updated on 2026/01/17)

   Abstract:
   We propose a new distribution-free model of social networks. Our definitions are motivated by one of the most universal signatures of social networks, triadic closure|the property that pairs of vertices with common neighbors tend to be adjacent. Our most basic definition is that of a c-closed graph, where for every pair of vertices u; v with at least c common neighbors, u and v are adjacent. We study the classic problem of enumerating all maximal cliques, an important task in social network analysis. We prove that this problem is fixed-parameter tractable with respect to c on c-closed graphs. Our results carry over to weakly c-closed graphs, which only require a vertex deletion ordering that avoids pairs of nonadjacent vertices with c common neighbors. Numerical experiments show that well-studied social networks with thousands of vertices tend to be weakly c-closed for modest values of c.