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WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
13 years 3 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
ALGORITHMICA
2004
130views more  ALGORITHMICA 2004»
13 years 4 months ago
Diameter and Treewidth in Minor-Closed Graph Families, Revisited
Eppstein [5] characterized the minor-closed graph families for which the treewidth is bounded by a function of the diameter, which includes e.g. planar graphs. This characterizatio...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
LATIN
2010
Springer
13 years 10 months ago
Euclidean Prize-Collecting Steiner Forest
In this paper, we consider Steiner forest and its generalizations, prize-collecting Steiner forest and k-Steiner forest, when the vertices of the input graph are points in the Euc...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi
STACS
2007
Springer
13 years 11 months ago
Compact Forbidden-Set Routing
We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...
Bruno Courcelle, Andrew Twigg
SWAT
1994
Springer
126views Algorithms» more  SWAT 1994»
13 years 9 months ago
Optimal Parametric Search on Graphs of Bounded Tree-Width
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
David Fernández-Baca, Giora Slutzki