Book Review
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Book Information:
Authors:
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 pp.,
ISBN 0-8218-3801-6,
$41.00$
Louis J. Billera and Bernd Sturmfels, Fiber polytopes, Ann. of Math. (2) 135 (1992), no. 3, 527–549. MR 1166643, DOI 10.2307/2946575
[2] A. L. Cauchy, Sur les polygons et le polyéders, XVIe Cahier, Tome IX (1813), 87--98.
Robert Connelly, Rigidity, Handbook of convex geometry, Vol. A, B, North-Holland, Amsterdam, 1993, pp. 223–271. MR 1242981
[4] H. Crapo, On the generic rigidity of structures in the plane, Advances in Applied Math (to appear).
Henry Crapo and Walter Whiteley, Statics of frameworks and motions of panel structures, a projective geometric introduction, Structural Topology 6 (1982), 43–82. With a French translation. MR 666680
[6] B. Grünbaum and J. Shephard, Lectures on Lost Mathematics, Univ. of Washington lecture notes, 1978.
Bruce Hendrickson, Conditions for unique graph realizations, SIAM J. Comput. 21 (1992), no. 1, 65–84. MR 1148818, DOI 10.1137/0221008
G. Laman, On graphs and rigidity of plane skeletal structures, J. Engrg. Math. 4 (1970), 331–340. MR 269535, DOI 10.1007/BF01534980
L. Lovász and Y. Yemini, On generic rigidity in the plane, SIAM J. Algebraic Discrete Methods 3 (1982), no. 1, 91–98. MR 644960, DOI 10.1137/0603009
Walter Whiteley, La division de sommet dans les charpentes isostatiques, Structural Topology 16 (1990), 23–30. Dual French-English text. MR 1102001
Walter Whiteley, Matroids and rigid structures, Matroid applications, Encyclopedia Math. Appl., vol. 40, Cambridge Univ. Press, Cambridge, 1992, pp. 1–53. MR 1165538, DOI 10.1017/CBO9780511662041.002
- [1]
- L. Billera and B. Sturmfels, Fiber Polytopes, Annals of Math. 135 (1992), 527--549. MR 1166643
- [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 1242981
- [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 0666680
- [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 1148818
- [8]
- G. Laman, On graphs and rigidity of plane skeletal structures, J. Engrg. Math. 4 (1970), 331--340. MR 0269535
- [9]
- L. Lovasz and Y. Yemini, On generic rigidity in the plane, SIAM J. Alg. Disc. Methods 3 (1982), 91--98. MR 0644960
- [10]
- W. Whiteley, Vertex splittings in isostatic frameworks, Structural Topology 16 (1990), 23--30. MR 1102001
- [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 1165538
Review Information:
Reviewer:
Robert Connelly
Affiliation:
Cornell University
Email:
connelly@math.cornell.edu
Journal:
Bull. Amer. Math. Soc.
33 (1996), 399-401
DOI:
https://doi.org/10.1090/S0273-0979-96-00670-2
Review copyright:
© Copyright 1996
American Mathematical Society
