Approximating layout problems on geometric random graphs

We show two simple algorithms that, with high probability, approximate within a constant several layout problems for geometric random graphs drawn from the Gn(r) model r_cv(log¿¿n/n¿ ) for any constant c = 6. The layout problems that we consider are: Bandwidth, Minimum Linear Arrangement, Minimum Cu...

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Detalles Bibliográficos
Autores: Díaz Cort, Josep|||0000-0003-4422-0067, Penrose, Mathew D., Petit Silvestre, Jordi|||0000-0001-8331-8126, Serna Iglesias, María José|||0000-0001-9729-8648
Tipo de recurso: informe técnico
Fecha de publicación:1998
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:2117/371020
Acceso en línea:https://hdl.handle.net/2117/371020
Access Level:acceso abierto
Palabra clave:Graph algorithms
Algorismes de grafs
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:We show two simple algorithms that, with high probability, approximate within a constant several layout problems for geometric random graphs drawn from the Gn(r) model r_cv(log¿¿n/n¿ ) for any constant c = 6. The layout problems that we consider are: Bandwidth, Minimum Linear Arrangement, Minimum Cut, Minimum Sum Cut, Vertex Separation and Bisection.