Title
Minimal Triangulations for Graphs with "Few" Minimal Separators
Abstract
We give a characterization of minimal triangulation of graphs using the notion of "maximal set of neighbor separators". We prove that if all the maximal sets of neighbor separators of some graphs can be computed in polynomial time, the treewidth of those graphs can be computed in polynomial time. This notion also unifies the already known algorithms computing the treewidth of several classes of graphs.
Year
Venue
Keywords
1998
ESA
maximal set,neighbor separator,polynomial time,minimal triangulations,minimal separators,minimal triangulation,chordal graph
Field
DocType
ISBN
Discrete mathematics,Combinatorics,Indifference graph,Partial k-tree,Chordal graph,Clique-sum,Treewidth,Pathwidth,1-planar graph,Mathematics,Maximal independent set
Conference
3-540-64848-8
Citations 
PageRank 
References 
5
0.63
12
Authors
2
Name
Order
Citations
PageRank
Vincent Bouchitté117212.07
Ioan Todinca232827.33