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» Towards Graph Programs for Graph Algorithms
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STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 10 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...
SWAT
2004
Springer
129views Algorithms» more  SWAT 2004»
15 years 11 months ago
Collective Tree Spanners of Graphs
In this paper we introduce a new notion of collective tree spanners. We say that a graph G = (V, E) admits a system of µ collective additive tree r-spanners if there is a system T...
Feodor F. Dragan, Chenyu Yan, Irina Lomonosov
ICALP
2009
Springer
16 years 6 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
CORR
2008
Springer
150views Education» more  CORR 2008»
15 years 6 months ago
A Dynamic Programming Framework for Combinatorial Optimization Problems on Graphs with Bounded Pathwidth
In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, ...
Mugurel Ionut Andreica
ASP
2003
Springer
15 years 11 months ago
Graphs and colorings for answer set programming: Abridged Report
We investigate rule dependency graphs and their colorings for characterizing the computation of answer sets of logic programs. To this end, we develop a series of operational chara...
Kathrin Konczak, Torsten Schaub, Thomas Linke