Title
On treewidth approximations
Abstract
We introduce a natural heuristic for approximating the treewidth of graphs. We prove that this heuristic gives a constant factor approximation for the treewidth of graphs with bounded asteroidal number. Using a different technique, we give a O(log k) approximation algorithm for the treewidth of arbitrary graphs, where k is the treewidth of the input graph.
Year
DOI
Venue
2004
10.1016/S0166-218X(03)00440-2
Discrete Applied Mathematics
Keywords
Field
DocType
asteroidal number,different technique,bounded asteroidal number,graph algorithm,constant factor approximation,natural heuristic,treewidth,approximation algorithm,arbitrary graph,minimal separator,log k,treewidth approximation,input graph
Discrete mathematics,Combinatorics,Tree-depth,Partial k-tree,Tree decomposition,Chordal graph,Clique-sum,Treewidth,Pathwidth,1-planar graph,Mathematics
Journal
Volume
Issue
ISSN
136
2-3
Discrete Applied Mathematics
Citations 
PageRank 
References 
19
0.99
15
Authors
4
Name
Order
Citations
PageRank
Vincent Bouchitté117212.07
D. Kratsch21097.34
H. Müller3190.99
I. Todinca4352.01