45 search results - page 1 / 9 » Vertex rankings of chordal graphs and weighted trees |
IPL
2006
13 years 4 months ago
2006
: In this paper we consider the vertex ranking problem of weighted trees. We show that this problem is strongly NP-hard. We also give a polynomial-time reduction from the problem o...
FAW
2009
Springer
13 years 11 months ago
2009
Springer
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
WALCOM
2010
IEEE
13 years 3 months ago
2010
IEEE
Treewidth and pathwidth are important graph parameters that represent how close the graph is to trees and paths respectively. We calculate treewidth and pathwidth on parameterized ...
JGT
2006
13 years 4 months ago
2006
Abstract: A k-tree is a chordal graph with no (k + 2)-clique. An -treepartition of a graph G is a vertex partition of G into `bags,' such that contracting each bag to a single...
ALGORITHMS
2010
13 years 2 months ago
2010
: Graph search algorithms have exploited graph extremities, such as the leaves of a tree and the simplicial vertices of a chordal graph. Recently, several well-known graph search a...