Minimum m-connected k-dominating set problem is as follows: Given a graph G = (V,E) and two natural numbers m and k, find a subset S V of minimal size such that every vertex in V ...
Weiping Shang, F. Frances Yao, Peng-Jun Wan, Xiaod...
The r-domination search game on graphs is a game-theoretical approach to several graph and hypergraph parameters including treewidth and hypertree width. The task is to identify t...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
A problem open for many years is whether there is an FPT algorithm that given a graph G and parameter k, either: (1) determines that G has no k-Dominating Set, or (2) produces a do...
Rodney G. Downey, Michael R. Fellows, Catherine Mc...
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Abstract. In this paper we consider a generalization of the edge dominating set (EDS) problem, in which each edge e needs to be covered be times and refer to this as the b-EDS prob...