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...

ver descrição completa

Detalhes bibliográficos
Autor: Berenguer, Xavier
Tipo de documento: artigo
Data de publicação:1981
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2099/4406
Acesso em linha:https://hdl.handle.net/2099/4406
Access Level:Acceso aberto
Palavra-chave:Operations research
Investigació operativa
Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science
Descrição
Resumo: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.