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» Minimum Vertex Cover in Rectangle Graphs
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DAM
2006
191views more  DAM 2006»
13 years 5 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
ACID
2006
220views Algorithms» more  ACID 2006»
13 years 6 months ago
Vertex and Edge Covers with Clustering Properties: Complexity and Algorithms
We consider the concepts of a t-total vertex cover and a t-total edge cover (t 1), which generalize the notions of a vertex cover and an edge cover, respectively. A t-total verte...
Henning Fernau, David Manlove
DAM
2008
103views more  DAM 2008»
13 years 5 months ago
Crown reductions for the Minimum Weighted Vertex Cover problem
The paper studies crown reductions for the Minimum Weighted Vertex Cover problem introduced recently in the unweighted case by Fellows et al. [Blow-Ups, Win/Win's and crown r...
Miroslav Chlebík, Janka Chlebíkov&aa...
ESA
2003
Springer
124views Algorithms» more  ESA 2003»
13 years 10 months ago
The Minimum Generalized Vertex Cover Problem
Let G = (V, E) be an undirected graph, with three numbers d0(e) ≥ d1(e) ≥ d2(e) ≥ 0 for each edge e ∈ E. A solution is a subset U ⊆ V and di(e) represents the cost contr...
Refael Hassin, Asaf Levin
DAM
2011
13 years 6 days ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz