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» » Davenport-Schinzel Sequences and their Geometric Applications
Davenport-Schinzel Sequences and their Geometric Applications e-book

Author:

Pankaj K. Agarwal,Micha Sharir

Language:

English

Category:

Math

Subcategory:

Mathematics

ePub size:

1936 kb

Other formats:

mobi docx doc txt

Rating:

4.2

Publisher:

Cambridge University Press; 1 edition (March 11, 2010)

Pages:

388

ISBN:

0521135117

Davenport-Schinzel Sequences and their Geometric Applications e-book

by Pankaj K. Agarwal,Micha Sharir


Davenport–Schinzel Sequences and their Geometric Applications (with Micha Sharir, Cambridge . Pankaj Kumar Agarwal at the Mathematics Genealogy Project

Davenport–Schinzel Sequences and their Geometric Applications (with Micha Sharir, Cambridge University Press, 1995, ISBN 978-0-521-47025-4). This book concerns Davenport–Schinzel sequences, sequences of symbols drawn from a given alphabet with the property that no subsequence of more than some finite length consists of two alternating symbols. Pankaj Kumar Agarwal at the Mathematics Genealogy Project.

Davenport-Schinzel sequences and their geometric applications. M Šārîr, M Sharir, PK Agarwal. Efficient algorithms for geometric optimization. PK Agarwal, M Sharir. ACM Computing Surveys (CSUR) 30 (4), 412-458, 1998. Cambridge university press, 1995. Combinatorial geometry. John Wiley & Sons, 2011. Measurement models for electrochemical impedance spectroscopy I. Demonstration of applicability. P Agarwal, ME Orazem, LH GarciaRubio. Journal of the Electrochemical Society 139 (7), 1917-1927, 1992.

oceedings{chinzelSA, title {Davenport-Schinzel sequences and their geometric applications}, author {Micha Sharir and Pankaj K. Agarwal}, year {1995} }. Micha Sharir, Pankaj K. Agarwal.

Micha Sharir, Pankaj K. DavenportSchinzel Sequences and their Geometric Applications. Applications of Davenport-Schinzel sequences arise in areas as diverse as robot motion planning, computer graphics and vision, and pattern matching. 0521470250 (ISBN13: 9780521470254).

Davenport–Schinzel sequences and the combinatorial structure of lower envelopes of collections of functions make the sequences very attractive because a variety of geometric problems can be formulated in terms of lower envelopes. A near-linear bound on the maximum length of Davenport–Schinzel sequences enable us to derive sharp bounds on the combinatorial structure underlying various geometric problems, which in turn yields ecient algorithms for these problems. Both authors have been supported by a grant from the . Israeli Binational Science Foundation.

Davenport Schinzel sequences are sequences that do not contain forbidden alternating subsequences of certain length. P. Agarwal, M. Sharir and P. Shor, Tight bounds on the length of Davenport Schinzel sequences, in preparation. M. Atallah, Dynamic computational geometry, Proc.

Davenport–Schinzel Sequences and their Geometric Applications (with Micha Sharir, Cambridge University Press, 1995, ISBN 978-0-521-47025-4). Computational geometry is a branch of computer science devoted to the study of algorithms which can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and such problems are also considered to be part of computational geometry.

Author: Micha Sharir Pankaj K. Combinatorial and Geometric Structures and Their Applications.

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.

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