Bisection of random cubic graphs

In this paper we present two randomized algorithms to compute the bisection width of random cubic graphs with n vertices, giving an asymptotic upper bound for the bisection width respectively of 0.174039n and 0.174501n. We also obtain an asymptotic lower bound for the size of the max bisection of a...

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Detalles Bibliográficos
Autores: Díaz Cort, Josep|||0000-0003-4422-0067, Do, Norman, Serna Iglesias, María José|||0000-0001-9729-8648, Wormald, Nick
Tipo de recurso: informe técnico
Fecha de publicación:2002
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:2117/97498
Acceso en línea:https://hdl.handle.net/2117/97498
Access Level:acceso abierto
Palabra clave:Random cubic graphs
Randomized algorithms
Bisection width
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:In this paper we present two randomized algorithms to compute the bisection width of random cubic graphs with n vertices, giving an asymptotic upper bound for the bisection width respectively of 0.174039n and 0.174501n. We also obtain an asymptotic lower bound for the size of the max bisection of a random cubic graph with n vertices of 1.325961n and 1.325499n. The analysis is based on the differential equation method.