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Handbook of geometric constraint systems principles. (English) Zbl 1397.05005

Discrete Mathematics and its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4987-3891-0/hbk; 978-1-4987-3892-7/ebook). xxvi, 577 p. (2019).

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Publisher’s description: The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts.
The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research.
The articles of this volume will be reviewed individually.
Indexed articles:
Sitharam, Meera; Baker, Troy, Overview and preliminaries, 1-17 [Zbl 1404.52023]
Narboux, Julien; Janičić, Predrag; Fleuriot, Jacques, Computer-assisted theorem proving in synthetic geometry, 21-59 [Zbl 1425.68377]
Richter-Gebert, Jürgen; Li, Hongbo, Coordinate-free theorem proving in incidence geometry, 61-84 [Zbl 1423.68425]
Sidman, Jessica; Traves, William, Special positions of frameworks and the Grassmann-Cayley algebra, 85-106 [Zbl 1404.15022]
Havel, Timothy; Li, Hongbo, From molecular distance geometry to conformal geometric algebra, 107-137 [Zbl 1410.51014]
Fudos, Ioannis; Hoffmann, Christoph M.; Joan-Arinyo, Robert, Tree-decomposable and underconstrained geometric constraint problems, 139-180 [Zbl 1435.68344]
Baker, Troy; Sitharam, Meera; Prabhu, Rahul, Geometric constraint decomposition: the general case, 181-198 [Zbl 1407.05228]
Alfakih, A. Y., Dimensional and universal rigidities of bar frameworks, 201-212 [Zbl 1407.52023]
Sikirić, Mathieu Dutour; Deza, Michel-Marie; Deza, Elena I., Computations of metric/cut polyhedra and their relatives, 213-231 [Zbl 1411.51010]
Sitharam, Meera; Wang, Menghan; Willoughby, Joel; Prabhu, Rahul, Cayley configuration spaces, 233-252 [Zbl 1421.52026]
Schröcker, Hans-Peter; Pfurner, Martin; Schadlbauer, Josef, Constraint varieties in mechanism science, 253-272 [Zbl 1404.70005]
Sottile, Frank, Real algebraic geometry for geometric constraints, 273-285 [Zbl 1404.14068]
Servatius, Brigitte, Polyhedra in 3-space, 289-298 [Zbl 1407.52013]
Connelly, Robert; Nixon, Anthony, Tensegrity, 299-315 [Zbl 1407.52025]
Karpenkov, Oleg, Geometric conditions of rigidity in nongeneric settings, 317-339 [Zbl 1421.52021]
Gortler, Steven J., Generic global rigidity in general dimension, 341-350 [Zbl 1407.52026]
Nixon, Anthony; Whiteley, Walter, Change of metrics in rigidity theory, 351-374 [Zbl 1421.52024]
Servatius, Brigitte; Servatius, Herman, Planar rigidity, 377-412 [Zbl 1421.52025]
Nixon, Anthony; Ross, Elissa, Inductive constructions for combinatorial local and global rigidity, 413-434 [Zbl 1421.52023]
Király, Csaba; Tanigawa, Shin-ichi, Rigidity of body-bar-hinge frameworks, 435-459 [Zbl 1407.52028]
Jackson, Bill; Jordán, Tibor; Tanigawa, Shin-Ichi, Global rigidity of two-dimensional framework, 461-486 [Zbl 1421.52020]
Jackson, Bill; Owen, J. C., Point-line frameworks, 487-504 [Zbl 1407.52027]
John, Audrey St., Generic rigidity of body-and-cad frameworks, 505-524 [Zbl 1423.68561]
Kitson, Derek, Rigidity with polyhedral norms, 525-541 [Zbl 1421.52022]
Schulze, Bernd, Combinatorial rigidity of symmetric and periodic frameworks, 543-565 [Zbl 1415.52016]

MSC:

05-06 Proceedings, conferences, collections, etc. pertaining to combinatorics
05-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to combinatorics
05Bxx Designs and configurations
05Cxx Graph theory
05Exx Algebraic combinatorics
14P99 Real algebraic and real-analytic geometry
52-06 Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry
00B15 Collections of articles of miscellaneous specific interest
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