Title: Partitioning Arrangements of Lines I An Efficient Deterministic Algorithm Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1333393369
ISBN 13: 9781333393366
Binding: PAP
Condition: New
Weight: 141 grams

About this title

Synopsis

Discover a deterministic way to split the plane into many small regions, each touching few lines, making hard problems easier to solve.

This book describes a deterministic algorithm that partitions a set of lines into triangles so that no triangle meets too many lines. It explains how this partitioning can replace randomized methods and reduce overall problem size, helping to solve a variety of geometric questions more efficiently.

How the plane can be divided into small regions with controlled line crossings.

How the approach lowers time and complexity compared to previous methods.

Applications to incidences, face counting in line arrangements, and related problems.

Trade-offs between randomness, determinism, and practical efficiency in geometric algorithms.

Ideal for readers of computational geometry and algorithm design who want a clearer path from theory to deterministic, scalable solutions.

"About this title" may belong to another edition of this title.

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