The analysis of partial match queries in random multidimensional trees: A selected survey

We analyze the probabilistic performance of partial match queries in random multidimensional search trees, using k-d trees (and their variants) and quadtrees, as primary examples. A partial match query aims to retrieve all points from a tree that match a given query point on a predetermined subset o...

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Detalles Bibliográficos
Autores: Duch Brown, Amalia|||0000-0003-4371-1286, Hwang, Hsien-Kuei, Martínez Parra, Conrado|||0000-0003-1302-9067, Neininger, Ralph
Tipo de recurso: artículo
Fecha de publicación:2026
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:2117/456252
Acceso en línea:https://hdl.handle.net/2117/456252
https://dx.doi.org/10.1016/j.cosrev.2026.100904
Access Level:acceso abierto
Palabra clave:Multidimensional data structures
k-dimensional trees
Quadtrees
Partial match queries
Associative queries
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica
Descripción
Sumario:We analyze the probabilistic performance of partial match queries in random multidimensional search trees, using k-d trees (and their variants) and quadtrees, as primary examples. A partial match query aims to retrieve all points from a tree that match a given query point on a predetermined subset of coordinates. As one of the most basic associative searches, its analysis is foundational for evaluating more complex queries. This selection of data structures allows us to demonstrate common analytical techniques and offer a historical perspective on the field.