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» On Planar Quasi-Parity Graphs
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ICALP
2003
Springer
15 years 3 months ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 2 months ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
ISAAC
2009
Springer
142views Algorithms» more  ISAAC 2009»
15 years 2 months ago
Induced Packing of Odd Cycles in a Planar Graph
An induced packing of odd cycles in a graph is a packing such that there is no edge in a graph between any two odd cycles in the packing. We prove that the problem is solvable in t...
Petr A. Golovach, Marcin Kaminski, Daniël Pau...
ICCS
2001
Springer
15 years 2 months ago
Graph Voronoi Regions for Interfacing Planar Graphs
Thomas Kämpke, Matthias Strobel