The model checking problem for finite-state open systems (module checking) has been extensively studied in the literature, both in the context of environments with perfect and imp...
We study several cost coloring problems, where we are given a graph and a cost function on the independent sets and are to find a coloring that minimizes the function costs of the...
G is a well-covered graph provided all its maximal stable sets are of the same size (Plummer, 1970). S is a local maximum stable set of G, and we denote by S (G), if S is a maxim...
It is well known that satisfiability of random sets of propositional clauses undergoes phase transition while the clause-to-variable ratio of the sets increases. We introduce anot...
Given a graph on n vertices which is the union of two comparability graphs on the same vertex set, it always contains a clique or independent set of size n 1 3 . On the other hand...