Combinatorial and Computational Geometry by J. E. Goodman, J. Pach, E. Welzl - PDF Links
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About this book :-
This book brings together 32 research papers on geometric problems. These papers cover topics like geometric arrangements, polytopes, packing and covering problems, discrete convexity, geometric algorithms, and the combinatorial complexity of geometric objects, especially in low dimensions.
The book also discusses how these geometric concepts relate to applied areas such as mathematical programming, visibility problems, kinetic data structures, and biochemistry, as well as connections to algebraic topology, geometric probability, real algebraic geometry, and combinatorics.
Book Detail :-
This book has following details information.
Title:
Combinatorial and Computational Geometry by J. E. Goodman, J. Pach, E. Welzl - PDF Links
Publisher:
Cambridge University Press
Year:
2005
Pages:
628
Type:
PDF
Language:
English
ISBN-10 #:
0521848628
ISBN-13 #:
978-0521848626
License:
N\A
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About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
1. Geometric Approximation via Coresets
2. Applications of Graph and Hypergraph Theory in Geometry
3. Convex Geometry of Orbits
4. The Hadwiger Transversal Theorem for Pseudolines
5. Betti Number Bounds, Applications and Algorithms
6. Shelling and the h.Vector of the (Extra)ordinary Polytope
7. On the Number of Mutually Touching Cylinders
8. Edge -Antipodal -Polytopes
9. A Conformal Energy for Simplicial Surfaces
10. On the Size of Higher.Dimensional Triangulations
11. The Carpenter’s Ruler Folding Problem
12. A Survey of Folding and Unfolding in Computational Geometry
13. On the Rank of a Tropical Matrix
14. The Geometry of Biomolecular Solvation
15. Inequalities for Zonotopes
16. Quasiconvex Programming
17. De Concini–Procesi Wonderful Arrangement Models: A Discrete Geometer’s Point of View
18. Thinnest Covering of a Circle by Eight, Nine, or Ten Congruent Circles
19. On the Complexity of Visibility Problems with Moving Viewpoints
20. Cylindrical Partitions of Convex Bodies
21. Tropical Halfspaces
22. Two Proofs for Sylvester’s Problem Using an Allowable Sequence of Permutations
23. A Comparison of Five Implementations of 3D Delaunay Tessellation
24. The Bernstein Basis and Real Root Isolation
25. Extremal Problems Related to the Sylvester–Gallai Theorem
26. A Long Noncrossing Path Among Disjoint Segments in the Plane
27. On a Generalization of Sch¨onhardt’s Polyhedron
28. On Hadwiger Numbers of Direct Products of Convex Bodies
29. Binary Space Partitions: Recent Developments
30. The Erd?os–Szekeres Theorem: Upper Bounds and Related Results
31. On the Pair.Crossing Number
32. Geometric Random Walks: A Survey
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