Fixed partial match queries in quadtrees
Visualitza/Obre
10.4230/LIPIcs.AofA.2018.20
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/122772
Tipus de documentText en actes de congrés
Data publicació2018
EditorSchloss Dagstuhl - Leibniz-Zentrum für Informatik
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement 3.0 Espanya
ProjecteMODELOS Y METODOS BASADOS EN GRAFOS PARA LA COMPUTACION EN GRAN ESCALA (AEI-TIN2017-86727-C2-1-R)
Abstract
Several recent papers in the literature have addressed the analysis of the cost P_{n,q} of partial match search for a given fixed query q - that has s out of K specified coordinates - in different multidimensional data structures. Indeed, detailed asymptotic estimates for the main term in the expected cost P_{n,q} = E {P_{n,q}} in standard and relaxed K-d trees are known (for any dimension K and any number s of specified coordinates), as well as stronger distributional results on P_{n,q} for standard 2-d trees and 2-dimensional quadtrees. In this work we derive a precise asymptotic estimate for the main order term of P_{n,q} in quadtrees, for any values of K and s, 0 < s < K, under the assumption that the limit of P_{n,q}/n^alpha when n -> infty exists, where alpha is the exponent of n in the expected cost of a random partial match query with s specified coordinates in a random K-dimensional quadtree.
CitacióDuch, A., Lau, G., Martínez, C. Fixed partial match queries in quadtrees. A: International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms. "29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018): June 25-29, 2018, Uppsala, Sweden". Wadern: Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 1-18.
ISBN978-3-95977-078-1
Versió de l'editorhttp://drops.dagstuhl.de/opus/volltexte/2018/8913/
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