On the average performance of orthogonal range search in multidimensional data structures

In this work we present the average-case analysis of orthogonal range search for several multidimensional data structures. We first consider random relaxed K-d trees as a prototypical example and later extend our results to several different multidimensional data structures. We show that the perform...

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Detalles Bibliográficos
Autores: Duch Brown, Amalia|||0000-0003-4371-1286, Martínez Parra, Conrado|||0000-0003-1302-9067
Tipo de recurso: informe técnico
Fecha de publicación:2001
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:2117/97828
Acceso en línea:https://hdl.handle.net/2117/97828
Access Level:acceso abierto
Palabra clave:Orthogonal range search
Multidimensional data structures
Random relaxed K-d trees
Àrees temàtiques de la UPC::Informàtica
Descripción
Sumario:In this work we present the average-case analysis of orthogonal range search for several multidimensional data structures. We first consider random relaxed K-d trees as a prototypical example and later extend our results to several different multidimensional data structures. We show that the performance of range searches is related to the performance of a variant of partial matches which simplifies the analysis and provides a tight asymptotic estimate for the expected cost of range searches.