Sciweavers

ESA
2005
Springer

New Tools and Simpler Algorithms for Branchwidth

13 years 9 months ago
New Tools and Simpler Algorithms for Branchwidth
Abstract. We provide new tools, such as k-troikas and good subtreerepresentations, that allow us to give fast and simple algorithms computing branchwidth. We show that a graph G has branchwidth at most k if and only if it is a subgraph of a chordal graph in which every maximal clique has a k-troika respecting its minimal separators. Moreover, if G itself is chordal with clique tree T then such a chordal supergraph exists having clique tree a minor of T. We use these tools to give a straightforward O(m + n + q2 ) algorithm computing branchwidth for an interval graph on m edges, n vertices and q maximal cliques. We also prove a conjecture of F. Mazoit [13] by showing that branchwidth is polynomial on a chordal graph given with a clique tree having a polynomial number of subtrees.
Christophe Paul, Jan Arne Telle
Added 27 Jun 2010
Updated 27 Jun 2010
Type Conference
Year 2005
Where ESA
Authors Christophe Paul, Jan Arne Telle
Comments (0)