Dominating sets and local treewidth
It is known that the treewidth of a planar graph with a dominating set of size d is O(sqrt{d}) and this fact is used as the basis for several fixed parameter algorithms on planar graphs. An interesting question motivating our study is if similar bounds can be obtained for larger minor closed graph f...
| Autores: | , |
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| Formato: | informe técnico |
| Fecha de publicación: | 2003 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/96914 |
| Acesso em linha: | https://hdl.handle.net/2117/96914 |
| Access Level: | acceso abierto |
| Palavra-chave: | Planar graphs Dominating sets Local treewidth Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica |
| Resumo: | It is known that the treewidth of a planar graph with a dominating set of size d is O(sqrt{d}) and this fact is used as the basis for several fixed parameter algorithms on planar graphs. An interesting question motivating our study is if similar bounds can be obtained for larger minor closed graph families. We say that a graph family F has the {domination-treewidth property} if there is some function f(d) such that every graph G in F with dominating set of size at most d has treewidth at most f(d). We show that a minor-closed graph family F has the domination-treewidth property if and only if F has bounded local treewidth. This result has important algorithmic consequences. |
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