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ALGORITHMICA
2010
112views more  ALGORITHMICA 2010»
14 years 10 months ago
Approximation Algorithms for Treewidth
Abstract. This paper presents algorithms whose input is an undirected graph, and whose output is a tree decomposition of width that approximates the optimal, the treewidth of that ...
Eyal Amir
CORR
2010
Springer
94views Education» more  CORR 2010»
14 years 4 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood
COCOON
2007
Springer
15 years 1 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
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
14 years 10 months ago
Total 4-Choosability of Series-Parallel Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 3, then G is totally 4-choosable; that is, if every element (vertex or edge) of G is assigned a list of 4 colo...
Douglas R. Woodall
AAECC
2007
Springer
118views Algorithms» more  AAECC 2007»
15 years 4 months 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