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144
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NETWORKS
2010
15 years 2 months ago
Probabilistic models for the Steiner Tree problem
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...
Vangelis Th. Paschos, Orestis Telelis, Vassilis Zi...
CP
2008
Springer
15 years 5 months ago
Perfect Constraints Are Tractable
By using recent results from graph theory, including the Strong Perfect Graph Theorem, we obtain a unifying framework for a number of tractable classes of constraint problems. Thes...
András Z. Salamon, Peter G. Jeavons
96
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ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
15 years 3 months ago
Approximation Algorithms for Treewidth
Abstract. This paper presents algorithms whose input is an undirected graph, and whose output is a tree decomposition of width that approximates the optimal, the treewidth of that ...
Eyal Amir
120
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WG
2007
Springer
15 years 9 months ago
Characterisations and Linear-Time Recognition of Probe Cographs
Cographs are those graphs without induced path on four vertices. A graph G is a probe cograph if its vertex set can be partitioned into two sets, N (non-probes) and P (probes) wher...
Van Bang Le, H. N. de Ridder
132
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ICALP
2011
Springer
14 years 7 months ago
Clustering with Local Restrictions
We study a family of graph clustering problems where each cluster has to satisfy a certain local requirement. Formally, let µ be a function on the subsets of vertices of a graph G...
Daniel Lokshtanov, Dániel Marx