Computing a K-independent set of maximal weight on a partially ordered set: a research case history

This is a tutorial paper presenting the research carried out on the Sperner-Erdös problem, that is the problem of computing a Maximal Weighted K-Independent Set on a Partially Ordered set. Results are shown in the same order as the research was made: analysis and solution to the Sperner [sub]problem...

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Detalles Bibliográficos
Autor: Berenguer, Xavier
Tipo de recurso: artículo
Fecha de publicación:1981
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:2099/4406
Acceso en línea:https://hdl.handle.net/2099/4406
Access Level:acceso abierto
Palabra clave:Operations research
Investigació operativa
Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science
Descripción
Sumario:This is a tutorial paper presenting the research carried out on the Sperner-Erdös problem, that is the problem of computing a Maximal Weighted K-Independent Set on a Partially Ordered set. Results are shown in the same order as the research was made: analysis and solution to the Sperner [sub]problem (K=1) and generalisation of this result yielding a polynomial solution to the Sperner-Erdös problem.