Towards Dynamic Randomized Algorithms in Computational Geometry. 1st ed. 1993

種類:

電子ブック

責任表示:

by Monique Teillaud

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993

著者名:

• Teillaud, Monique.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Computer Science ; 758

ISBN:

9783540482024 [3540482024]    

注記:

Fundamental structures -- Static randomized incremental algorithms -- The Delaunay tree -- A general structure: The influence graph -- The k-Delaunay tree -- Towards a fully dynamic structure -- Parallel work.
Computational geometry concerns itself with designing and analyzing algorithms for solving geometric problems. The field has reached a high level of sophistication, and very complicated algorithms have been designed.However, it is also useful to develop more practical algorithms, so long as they are based on rigorous methods. One such method is the use of randomized algorithms. These algorithms have become more and more popular, turning into one of the hottest areas of recent years. Dynamic algorithms are particularly interesting because in practice the data of a problem are often acquired progressively. In this monograph the author studies the theoretical complexity and practical efficiency of randomized dynamic algorithms.

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