The Complexity of learning minor closed graph classes

The paper considers the problem of learning classes of graphs closed under taking minors. It is shown that any such class can be properly learned in polynomial time using membership and equivalence queries. The representation of the class is in terms of a set of minimal excluded minors (obstruction...

Descripción completa

Detalles Bibliográficos
Autores: Domingo Soriano, Carlos, Shawe-Taylor, J
Tipo de recurso: informe técnico
Fecha de publicación:1995
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:2117/82263
Acceso en línea:https://hdl.handle.net/2117/82263
Access Level:acceso abierto
Palabra clave:Complexity
Learning classes of graphs
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:The paper considers the problem of learning classes of graphs closed under taking minors. It is shown that any such class can be properly learned in polynomial time using membership and equivalence queries. The representation of the class is in terms of a set of minimal excluded minors (obstruction set). Moreover, a negative result for learning such classes using only equivalence queries is also provided, after introducing a notion of reducibility between query learning problems.