Computation of bisection width for random d-regular graphs

In this paper we describe a randomized greedy algorithm for obtaining bisections of graphs. Analysis of the algorithm's performance on random d-regular graphs yields asymptotically almost sure upper bounds on the bisection width of such graphs with n vertices, as n goes to infinity. We also giv...

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Detalhes bibliográficos
Autores: Díaz Cort, Josep|||0000-0003-4422-0067, Serna Iglesias, María José|||0000-0001-9729-8648, Wormald, Nick
Tipo de documento: relatório científico
Data de publicação:2003
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:2117/97320
Acesso em linha:https://hdl.handle.net/2117/97320
Access Level:Acceso aberto
Palavra-chave:Randomized greedy algorithm
Graphs bisections
Bisection width
Random d-regular graphs
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
Descrição
Resumo:In this paper we describe a randomized greedy algorithm for obtaining bisections of graphs. Analysis of the algorithm's performance on random d-regular graphs yields asymptotically almost sure upper bounds on the bisection width of such graphs with n vertices, as n goes to infinity. We also give empirical values of the size of bisection found by the algorithm for some small values of d.