Let (G) denote the domination number of a graph G and let G H denote the Cartesian product of graphs G and H. We prove that (G)(H) 2(G H) for all simple graphs G and H. 2000 Math...
We consider an efficient distributed algorithm for determining a dominating and absorbant set of vertices (mobile hosts) in a given directed graph that represents an ad hoc wirel...
We present the software tool “Web Graph Analyzer”. This tool is designed to perform a comprehensive analysis of the Web Graph structure. By Web Graph we mean a graph whose ver...
Konstantin Avrachenkov, Danil Nemirovsky, Natalia ...
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
For several graph-theoretic parameters such as vertex cover and dominating set, it is known that if their sizes are bounded by k then the treewidth of the graph is bounded by some ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...