Discrete And Computational Geometry Impact Factor

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Algorithms and Computation

Author: Peter Eades
language: en
Publisher: Springer Science & Business Media
Release Date: 2001-12-05
This book constitutes the refereed proceedings of the 12th International Conference on Algorithms and Computation, ISAAC 2001, held in Christchurch, New Zealand in December 2001. The 62 revised full papers presented together with three invited papers were carefully reviewed and selected from a total of 124 submissions. The papers are organized in topical sections on combinatorial generation and optimization, parallel and distributed algorithms, graph drawing and algorithms, computational geometry, computational complexity and cryptology, automata and formal languages, computational biology and string matching, and algorithms and data structures.
Frontiers in Algorithmics

This book constitutes the refereed proceedings of the First Annual International Frontiers of Algorithmics Workshop, FAW 2007, held in Lanzhou, China in August 2007. Topics covered in the papers include bioinformatics, discrete structures, geometric information processing and communication, games and incentive analysis, graph algorithms, internet algorithms and protocols, and algorithms in medical applications.
Computational Geometry of Positive Definite Quadratic Forms

Author: Achill Schurmann
language: en
Publisher: American Mathematical Soc.
Release Date: 2009
"Starting from classical arithmetical questions on quadratic forms, this book takes the reader step by step through the connections with lattice sphere packing and covering problems. As a model for polyhedral reduction theories of positive definite quadratic forms, Minkowski's classical theory is presented, including an application to multidimensional continued fraction expansions. The reduction theories of Voronoi are described in great detail, including full proofs, new views, and generalizations that cannot be found elsewhere. Based on Voronoi's second reduction theory, the local analysis of sphere coverings and several of its applications are presented. These include the classification of totally real thin number fields, connections to the Minkowski conjecture, and the discovery of new, sometimes surprising, properties of exceptional structures such as the Leech lattice or the root lattices." "Throughout this book, special attention is paid to algorithms and computability, allowing computer-assisted treatments. Although dealing with relatively classical topics that have been worked on extensively by numerous authors, this book is exemplary in showing how computers may help to gain new insights."--BOOK JACKET.