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COCOON
2007
Springer
13 years 10 months ago
Improved Exact Algorithms for Counting 3- and 4-Colorings
Abstract. We introduce a generic algorithmic technique and apply it on decision and counting versions of graph coloring. Our approach is based on the following idea: either a graph...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh
AAECC
2007
Springer
118views Algorithms» more  AAECC 2007»
14 years 27 days ago
The "Art of Trellis Decoding" Is NP-Hard
Given a linear code C, the fundamental problem of trellis decoding is to find a coordinate permutation of C that yields a code C′ whose minimal trellis has the least state-compl...
Navin Kashyap
FCT
2003
Springer
13 years 12 months ago
Graph Searching, Elimination Trees, and a Generalization of Bandwidth
The bandwidth minimization problem has a long history and a number of practical applications. In this paper we introduce a natural extension of bandwidth to partially ordered layo...
Fedor V. Fomin, Pinar Heggernes, Jan Arne Telle
DAM
2008
108views more  DAM 2008»
13 years 6 months ago
On the complexity of the multicut problem in bounded tree-width graphs and digraphs
Given an edge- or vertex-weighted graph or digraph and a list of source-sink pairs, the minimum multicut problem consists in selecting a minimum weight set of edges or vertices wh...
Cédric Bentz
CORR
2011
Springer
184views Education» more  CORR 2011»
13 years 1 months ago
Acyclic and Star Colorings of Cographs
An acyclic coloring of a graph is a proper vertex coloring such that the union of any two color classes induces a disjoint collection of trees. The more restricted notion of star ...
Andrew Lyons