We present a deterministic model for on-line social networks based on transitivity and local knowledge in social interactions. In the Iterated Local Transitivity (ILT) model, at ea...
Anthony Bonato, Noor Hadi, Paul Horn, Pawel Pralat...
We study P6-free graphs, i.e., graphs that do not contain an induced path on six vertices. Our main result is a new characterization of this graph class: a graph G is P6-free if an...
In K(n, n) with edges colored either red or blue, we show that the problem of finding a solution matching, a perfect matching consisting of exactly r red edges, and (n - r) blue e...
In this paper we present new distributed protocols to color even rings and general bipartite graphs. Our motivation is to provide algorithmic explanation for human subject experime...
Amos Israeli, Mathew D. McCubbins, Ramamohan Patur...
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...