Mohamadou A. Diallo, Afonso Ferreira, A. Rau-Chaplin
{"title":"A Note on Communication-Efficient Deterministic Parallel Algorithms for Planar Point Location and 2D Voronoï Diagram","authors":"Mohamadou A. Diallo, Afonso Ferreira, A. Rau-Chaplin","doi":"10.1142/S0129626401000622","DOIUrl":null,"url":null,"abstract":"In this note we describe deterministic parallel algorithms for planar point location and for building the Voronoi Diagram of n co-planar points. These algorithms are designed for BSP/CGM-like models of computation, where p processors, with local memory each, communicate through some arbitrary interconnection network. They are communication-efficient since they require, respectively, O(1) and O(log p) communication steps and local computation per step. Both algorithms require local memory.","PeriodicalId":44742,"journal":{"name":"Parallel Processing Letters","volume":"855 1","pages":"399-409"},"PeriodicalIF":0.5000,"publicationDate":"1998-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Parallel Processing Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S0129626401000622","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 7
Abstract
In this note we describe deterministic parallel algorithms for planar point location and for building the Voronoi Diagram of n co-planar points. These algorithms are designed for BSP/CGM-like models of computation, where p processors, with local memory each, communicate through some arbitrary interconnection network. They are communication-efficient since they require, respectively, O(1) and O(log p) communication steps and local computation per step. Both algorithms require local memory.
期刊介绍：
Parallel Processing Letters (PPL) aims to rapidly disseminate results on a worldwide basis in the field of parallel processing in the form of short papers. It fills the need for an information vehicle which can convey recent achievements and further the exchange of scientific information in the field. This journal has a wide scope and topics covered included: - design and analysis of parallel and distributed algorithms - theory of parallel computation - parallel programming languages - parallel programming environments - parallel architectures and VLSI circuits
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