| Dewey Class |
516.1 (DDC 23) |
| Title |
Triangulations ([Ebook]) : Structures for Algorithms and Applications / by by Jesús A. Loera, Jörg Rambau, Francisco Santos. |
| Author |
Loera, Jesús A. |
| Added Personal Name |
Rambau, Jörg |
| Santos, Francisco |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 2010. |
| Physical Details |
X, 539 pages: 496 illus., 281 illus. in color. : online resource. |
| Series |
Algorithms and computation in mathematics 1431-1550 ; ; 25 |
| ISBN |
9783642129711 |
| Summary Note |
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.: |
| Contents note |
1 Triangulations in Mathematics -- 2 Configurations, Triangulations, Subdivisions, and Flips -- 3 Life in two Dimensions -- 4 A Tool Box -- 5 Regular Triangulations and Secondary Polytopes -- 6 Some Interesting Configurations -- 7 Some Interesting Triangulations -- 8 Algorithmic Issues -- 9 Further Topics -- Bibliography -- Index. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
http://dx.doi.org/10.1007/978-3-642-12971-1 |
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