Dominating sets in planar graphs: branch-width and exponential speed-up

Graph minors theory, developed by Robertson & Seymour, provides a list of powerful theoretical results and tools. However, the wide spread opinion in Graph Algorithms community about this theory is that it is mainly of theoretical importance. The main purpose of this paper is to show how very de...

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Detalles Bibliográficos
Autores: Fomin, Fedor V., Thilikos Touloupas, Dimitrios
Tipo de recurso: informe técnico
Fecha de publicación:2002
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/97398
Acceso en línea:https://hdl.handle.net/2117/97398
Access Level:acceso abierto
Palabra clave:Graph minors theory
Graph algorithms
Dominating sets
Planar graphs
Branch-width
Tree-width
Dominating set
Planar graph
Fixed parameter algorithm
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:Graph minors theory, developed by Robertson & Seymour, provides a list of powerful theoretical results and tools. However, the wide spread opinion in Graph Algorithms community about this theory is that it is mainly of theoretical importance. The main purpose of this paper is to show how very deep min-max and duality theorems from Graph Minors can be used to obtain essential speed-up to many known practical algorithms on different domination problems.