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Book Review
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Book Information
Author(s):
Jack Graver, Brigitte Servatius and Herman Servatius
Title:
Combinatorial rigidity
Additional book information:
Graduate Stud. Math., vol. 2, Amer. Math. Soc.,
Providence, RI,
1993,
x + 172,
$41.00,
0-8218-3801-6
References:
- [1]
- L. Billera and B. Sturmfels, Fiber Polytopes, Annals of Math. 135 (1992), 527--549. MR 93e:52019
- [2]
- A. L. Cauchy, Sur les polygons et le polyéders, XVIe Cahier, Tome IX (1813), 87--98.
- [3]
- R. Connelly, Rigidity, Chapter 1.7 in Handbook of Convex Geometry (P. M. Gruber and
J. M. Wills, eds.), vol. A, North-Holland, 1993, pp. 223--271. MR 94j:52041 - [4]
- H. Crapo, On the generic rigidity of structures in the plane, Advances in Applied Math (to appear).
- [5]
- H. Crapo and W. Whiteley, Statics of frameworks and motions of panel structures, a projective geometric introduction, Structural Topology 6 (1982), 43--82. MR 84b:51029
- [6]
- B. Grünbaum and J. Shephard, Lectures on Lost Mathematics, Univ. of Washington lecture notes, 1978.
- [7]
- B. Hendrickson, Conditions for unique graph realizations, SIAM J. Comput. 21 (1992), 65--84. MR 92m:05182
- [8]
- G. Laman, On graphs and rigidity of plane skeletal structures, J. Engrg. Math. 4 (1970), 331--340. MR 42:4430
- [9]
- L. Lovasz and Y. Yemini, On generic rigidity in the plane, SIAM J. Alg. Disc. Methods 3 (1982), 91--98. MR 83b:52007
- [10]
- W. Whiteley, Vertex splittings in isostatic frameworks, Structural Topology 16 (1990), 23--30. MR 92c:52037
- [11]
- ------, Matroids and rigid structures, in Matroid Applications, Encyclopedia of Mathematics and its Applications (N. White, ed.), vol. 40, Cambridge University Press, 1992, pp. 1--53. MR 93h:52029
Additional Information:
Reviewer(s):
Robert
Connelly
Affiliation:
Cornell University
Email:
connelly@math.cornell.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
33
(1996),
399-401.
MSC
(1991):
Primary 52C25;
Secondary 05B35, 70B15, 73K50
DOI:
10.1090/S0273-0979-96-00670-2
PII:
S 0273-0979(96)00670-2
Copyright of article:
Copyright
1996,
American Mathematical Society
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