Given an edge-weighted graph G = (V,E), a subset S ⊆ V , an integer k 1 and a real b 0, the minimum subpartition problem asks to find a family of k nonempty disjoint subsets X1...
Abstract— Sensors typically use wireless transmitters to communicate with each other. However, sensors may be located in a way that they cannot even form a connected network (e.g...
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
The Target Set Selection problem proposed by Kempe, Kleinberg, and Tardos, gives a nice clean combinatorial formulation for many problems arising in economy, sociology, and medicin...
Oren Ben-Zwi, Danny Hermelin, Daniel Lokshtanov, I...
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...