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» Towards Graph Programs for Graph Algorithms
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STOC
2010
ACM
295views Algorithms» more  STOC 2010»
15 years 4 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 5 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 3 days 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»
14 years 12 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 5 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