Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Abstract. Given a graph G and a nonnegative integer k, the NP-complete Induced Matching problem asks for an edge subset M such that M is a matching and no two edges of M are joined...
Abstract. Given an undirected graph G and an integer k ≥ 0, the NPhard 2-Layer Planarization problem asks whether G can be transformed into a forest of caterpillar trees by remov...
Bayesian networks, equivalently graphical Markov models determined by acyclic digraphs or ADGs (also called directed acyclic graphs or dags), have proved to be both effective and ...