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» A class of perfectly contractile graphs
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FOCS
2009
IEEE
14 years 2 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
SAT
2007
Springer
146views Hardware» more  SAT 2007»
14 years 1 months ago
Algorithms for Variable-Weighted 2-SAT and Dual Problems
Abstract. In this paper we study NP-hard weighted satisfiability optimization problems for the class 2-CNF providing worst-case upper time bounds. Moreover we consider the monoton...
Stefan Porschen, Ewald Speckenmeyer
JCT
2008
84views more  JCT 2008»
13 years 7 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas
ICALP
2009
Springer
14 years 7 months ago
Elimination Graphs
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Yuli Ye, Allan Borodin
CORR
2010
Springer
100views Education» more  CORR 2010»
13 years 7 months ago
Shortest paths between shortest paths and independent sets
We study problems of reconguration of shortest paths in graphs. We prove that the shortest reconguration sequence can be exponential in the size of the graph and that it is NP-hard...
Marcin Kaminski, Paul Medvedev, Martin Milanic