Given a vertex-weighted graph G = (V, E; w), w(v) ≥ 0 for any v ∈ V , we consider a weighted version of the coloring problem which consists in finding a partition S = (S1, . ...
We prove an exponential lower bound for the length of any resolution proof for the same set of clauses as the one used by Urquhart [13]. Our contribution is a significant simpli...
—K-shell (or k-core) graph decomposition methods were introduced as a tool for studying the structure of large graphs. K-shell decomposition methods have been recently proposed [...
A Web graph refers to the graph that is used to represent relationships between Web pages in cyberspace, where a node represents a URL and an edge indicates a link between two URLs...
An irredundant set of vertices V V in a graph G = (V; E) has the property that for every vertex u V ; N[V - {u}] is a proper subset of N[V ]. We investigate the parameterized co...
Rodney G. Downey, Michael R. Fellows, Venkatesh Ra...