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04360cam a2200601 4500 |
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PPN147793084 |
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http://www.sudoc.fr/147793084 |
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20240627060000.0 |
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|a 978-3-662-50241-9
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|a 978-3-642-12970-4
|b rel.
|d 70,94 EUR
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|a 3-642-12970-6
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|a 199101280
|9 sudoc
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|a (OCoLC)708369909
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|a 9783642129704
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|a 20101115h20102010k y0frey0103 ba
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|a eng
|2 639-2
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|a Triangulations
|e structures for algorithms and applications
|f Jesús A. De Loera, Jörg Rambau, Francisco Santos
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| 214 |
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|a Heidelberg
|a London
|a New York [etc.]
|c Springer
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|d C 2010
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| 215 |
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|a 1 vol. (XIII-535 p.)
|c ill. en noir et en coul., portr.
|d 27 cm
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| 225 |
2 |
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|a Algorithms and computation in mathematics
|x 1431-1550
|v 25
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| 320 |
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|a Bibliogr. p. [513]-530. Index
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| 327 |
0 |
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|a Contient des exercices
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| 359 |
2 |
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|b 1 Triangulations in Mathematics
|c 1.1 Combinatorics and triangulations
|c 1.2 Optimization and triangulations
|c 1.3 Algebra and triangulations
|c 1.4 The rest of this book
|b 2 Configurations, Triangulations, Subdivisions, and Flips
|c 2.1 The official languages in the land of triangulations
|c 2.2 A closer look at the definition of triangulations
|c 2.3 A bullet-proof definition of polyhedral subdivisions
|c 2.4 Flips and the graph of triangulations
|c 2.5 Vector configurations and their triangulations
|c 2.6 Triangulations as simplicial complexes
|b 3 Life in Two Dimensions
|c 3.1 Some basic properties
|c 3.2 A few examples of triangulations in the plane
|c 3.3 The set of all triangulations of a point set
|c 3.4 Flips in triangulations
|c 3.5 Pseudo-triangulations
|c 3.6 Life in three dimensions
|c 3.7 Notes and References
|b 4 A Tool Box
|c 4.1 Combinatorics of configurations
|c 4.2 Manipulating vector configurations
|c 4.3 Generating polyhedral subdivisions
|c 4.4 Two equivalent characterizations of flips
|b 5 Regular Triangulations and Secondary Polytopes
|c 5.1 The secondary polytope
|c 5.2 The normal fan of the secondary polytope
|c 5.3 Structure of the secondary polytope
|c 5.4 Chambers
|c 5.5 Configurations with fixed corank
|b 6 Some Interesting Configurations
|c 6.1 Cyclic polytopes
|c 6.2 Products of two simplices
|c 6.3 Cubes and their subpolytopes
|b 7 Some Interesting Triangulations
|c 7.1 The mother of all examples, and some relatives
|c 7.2 Highly flip-deficient triangulations
|c 7.3 Dimension 5: A disconnected graph of triangulations with unimodular triangulations
|b 8 Algorithmic Issues
|c 8.1 Tools for computation
|c 8.2 Verification and realizability
|c 8.3 Listing and enumerating triangulations
|c 8.4 Bounding the number of triangulations
|c 8.5 Optimization
|c 8.6 Computational complexity of triangulation problems
|b 9 Further Topics
|c 9.1 Fiber polytopes
|c 9.2 Mixed subdivisions and the Cayley trick
|c 9.3 Lattice polytopes and unimodular triangulations
|c 9.4 Triangulations and Gröbner bases
|c 9.5 Polytopal complexes and regular triangulations
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| 410 |
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|0 058992510
|t Algorithms and computation in mathematics
|x 1431-1550
|v 25
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| 452 |
|
| |
|0 149019769
|t Triangulations
|o structures for algorithms and spplications
|f by Jesús A. Loera, Jörg Rambau, Francisco Santos.
|e 1st ed. 2010.
|d 20XX
|c Berlin, Heidelberg
|n Springer Berlin Heidelberg
|s Algorithms and Computation in Mathematics
|y 978-3-642-12971-1
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