We consider a probabilistic model for the Steiner Tree problem. Under this model the problem is defined in a 2-stage setting over a first-stage complete weighted graph having it...
Consider an edge-weighted tree T = (V, E, w : E R+ ), in which a subset R of the nodes (called the required nodes) are colored red and the remaining nodes in S = V \R are colored ...
Let > 0 be a constant. For any edge-weighted planar graph G and a subset S of nodes of G, there is a subgraph H of G of weight a constant times that of the minimum Steiner tree...
Virtual Private Network Design is the following NP-hard problem. We are given a communication network, represented as a weighted graph with thresholds on the nodes which represent...
Friedrich Eisenbrand, Fabrizio Grandoni, Gianpaolo...
The dominatingset problemin graphs asks for a minimumsize subset of vertices with the followingproperty: each vertex is required to either be in the dominating set, or adjacent to...