On the monotonicity of games generated by symmetric submodular functions

Submodular functions have appeared to be a key tool for proving the monotonicity of several graph searching games. In this paper we provide a general game theoretic framework able to unify old and new monotonicity results in a unique min-max theorem. Our theorem, provides a game theoretic analogue t...

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Detalles Bibliográficos
Autores: Fomin, Fedor V., Thilikos Touloupas, Dimitrios
Tipo de recurso: informe técnico
Fecha de publicación:2001
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:2117/97642
Acceso en línea:https://hdl.handle.net/2117/97642
Access Level:acceso abierto
Palabra clave:Submodularity
Linear-width
Cutwidth
Search games
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:Submodular functions have appeared to be a key tool for proving the monotonicity of several graph searching games. In this paper we provide a general game theoretic framework able to unify old and new monotonicity results in a unique min-max theorem. Our theorem, provides a game theoretic analogue to a wide number of graph theoretic parameters such as linear-width and cutwidth.