منابع مشابه
Treewidth computations II. Lower bounds
For several applications, it is important to be able to compute the treewidth of a given graph and to find tree decompositions of small width reasonably fast. Good lower bounds on the treewidth of a graph can, amongst others, help to speed up branch and bound algorithms that compute the treewidth of a graph exactly. A high lower bound for a specific graph instance can tell that a dynamic progra...
متن کاملTreewidth computations I. Upper bounds
Article history: Received 22 September 2008 Revised 29 March 2009 Available online 19 April 2009
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Every lower bound for treewidth can be extended by taking the maximum of the lower bound over all subgraphs or minors. This extension is shown to be a very vital idea for improving treewidth lower bounds. In this paper, we investigate a total of nine graph parameters, providing lower bounds for treewidth. The parameters have in common that they all are the vertex-degree of some vertex in a subg...
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ژورنال
عنوان ژورنال: Information and Computation
سال: 2011
ISSN: 0890-5401
DOI: 10.1016/j.ic.2011.04.003