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Davenport-Schinzel Sequences and their Geometric Applications
 
 
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Davenport-Schinzel Sequences and their Geometric Applications [Hardcover]

Micha Sharir (Author), Pankaj K. Agarwal (Author)

Price: $110.00 & this item ships for FREE with Super Saver Shipping. Details
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Book Description

May 26, 1995 0521470250 978-0521470254
Applications of Davenport-Schinzel sequences arise in areas as diverse as robot motion planning, computer graphics and vision, and pattern matching. These sequences exhibit some surprising properties that make them a fascinating subject for research in combinatorial analysis. This book provides a comprehensive study of the combinatorial properties of Davenport-Schinzel sequences and their numerous geometric applications. These sequences are sophisticated tools for solving problems in computational and combinatorial geometry. This first book on the subject by two of its leading researchers will be an important resource for students and professionals in combinatorics, computational geometry, and related fields.

Editorial Reviews

Review

Review of the hardback: 'This is a very well written and readable book suitable as a textbook for upper undergraduate and junior graduate students. It is entirely selfcontained.' European Mathematical Society Newsletter

Review of the hardback: 'I am very impressed by the book and highly recommend it to anyone who is interested in computational geometry.' K. Kedem, The Computer Journal

Book Description

This book provides a comprehensive study of the theory of Davenport-Schinzel sequences and its geometric applications. These sequences are one of the most fundamental and sophisticated tools for solving problems in computational and combinatorial geometry. Applications arise in areas as diverse as robot motion planning, computer graphics, and pattern matching.

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Inside This Book (learn more)
First Sentence:
Definition 1.1 Let n, s be positive integers. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
constant description complexity, constant maximum degree, computing lower envelopes, lower envelope sequence, leftmost appearance, alternating subsequence, maximum combinatorial complexity, minimization diagram, ath fan, geometric permutations, equal adjacent elements, randomized expected time, randomized incremental algorithm, zone theorem, combinatorial changes, polyhedral terrain, trivariate functions, lower bound construction, free configuration space, vertical decomposition, combination lemma, bivariate functions, general position assumption, lowest vertex, polygonal obstacles
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Consistency Lemma, Chopping Theorem
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