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WG
2005
Springer
15 years 3 months ago
Computing the Tutte Polynomial on Graphs of Bounded Clique-Width
The Tutte polynomial is a notoriously hard graph invariant, and efficient algorithms for it are known only for a few special graph classes, like for those of bounded tree-width. Th...
Omer Giménez, Petr Hlinený, Marc Noy
DAM
2008
108views more  DAM 2008»
14 years 9 months ago
Feedback vertex set on AT-free graphs
We present a polynomial time algorithm to compute a minimum (weight) feedback vertex set for AT-free graphs, and extending this approach we obtain a polynomial time algorithm for ...
Dieter Kratsch, Haiko Müller, Ioan Todinca
STACS
2009
Springer
15 years 4 months ago
Polynomial-Time Approximation Schemes for Subset-Connectivity Problems in Bounded-Genus Graphs
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
Glencora Borradaile, Erik D. Demaine, Siamak Tazar...
TAMC
2007
Springer
15 years 3 months ago
Kernelizations for Parameterized Counting Problems
Abstract. Kernelizations are an important tool in designing fixed parameter algorithms for parameterized decision problems. We introduce an analogous notion for counting problems,...
Marc Thurley
FOCS
1995
IEEE
15 years 1 months ago
Free Bits, PCPs and Non-Approximability - Towards Tight Results
This paper continues the investigation of the connection between probabilistically checkable proofs PCPs the approximability of NP-optimization problems. The emphasis is on prov...
Mihir Bellare, Oded Goldreich, Madhu Sudan