ENGLISH

Triangulations: Structures for Algorithms and Applications

By Jörg Rambau , Jesús A. De Loera , Francisco Santos

Book information

Year
2010
ISBN
3642129706, 9783642129704
Language
english
Format
PDF
Filesize
7 MB (7636143 bytes)
Edition
1st Edition.
Pages
549\547
Time added
2011-06-04 13:46:07

Description

Triangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents the first comprehensive treatment of the theory of secondary polytopes and related topics. A central theme of the book is the use of the rich structure of the space of triangulations to solve computational problems (e.g., counting the number of triangulations or finding optimal triangulations with respect to various criteria), and to establish connections to applications in algebra, computer science, combinatorics, and optimization. With many examples and exercises, and with nearly five hundred illustrations, the book gently guides readers through the properties of the spaces of triangulations of "structured" (e.g., cubes, cyclic polytopes, lattice polytopes) and "pathological" (e.g., disconnected spaces of triangulations) situations using only elementary principles.

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