Treewidth computations I. Upper bounds
نویسندگان
چکیده
منابع مشابه
Treewidth computations I. Upper bounds
Article history: Received 22 September 2008 Revised 29 March 2009 Available online 19 April 2009
متن کاملTreewidth 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: Characterizations, Applications, and Computations
This paper gives a short survey on algorithmic aspects of the treewidth of graphs. Some alternative characterizations and some applications of the notion are given. The paper also discusses algorithms to compute the treewidth of given graphs, and how these are based on the different characterizations, with an emphasis on algorithms that have been experimentally tested.
متن کاملContraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all subgraphs of the minimum degree. The degeneracy is polynomial time computable. We introduce the notion of contraction degeneracy: the maximum over all minors of the minimum degree. We show that the contraction degenera...
متن کاملDegree-Based Treewidth Lower Bounds
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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Information and Computation
سال: 2010
ISSN: 0890-5401
DOI: 10.1016/j.ic.2009.03.008