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• W2098119876 abstract "Abstract : Many fundamental questions in computational geometry arise from the consideration of distributions of points in euclidean space. This thesis explores two important ares of computational geometry in this setting: geometric embeddings and query-retrieval problems. Each area is addressed in a separate part of the thesis. Part I examines the geometric embedding problem for many of the graphs which are important in the study of parallel computation. Part II of this thesis examines query-retrieval problems concerning distributions of points in euclidean space. In this part, we describe a new technique for solving a variety of query-retrieval problems in optimal time with optimal or near optimal space. Our compaction technique incorporates planar separators, filtering search, and the probabilistic method for discrepancy problems." @default.
• W2098119876 created "2016-06-24" @default.
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• W2098119876 date "1990-11-01" @default.
• W2098119876 modified "2023-09-24" @default.
• W2098119876 title "Results in Computational Geometry: Geometric Embeddings and Query- Retrieval Problems" @default.
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• W2098119876 doi "https://doi.org/10.21236/ada230380" @default.
• W2098119876 hasPublicationYear "1990" @default.
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