Special Issue "Rigidity and Symmetry"
A special issue of Symmetry (ISSN 2073-8994).
Deadline for manuscript submissions: closed (31 March 2015) | Viewed by 40647
Interests: discrete geometry; rigidity theory; symmetry; triangulations; polytope theory; graph theory; matroids; combinatorics; algebraic methods; representation theory; computational geometry; interdisciplinarity; rigidity and flexibility of symmetric framework systems; “equal-area-triangulation problems”
The mathematical theory of “rigidity” investigates the rigidity and flexibility of structures which are defined by geometric constraints (fixed lengths, fixed areas, fixed directions, etc.) on a set of rigid objects (points, lines, polygons, etc.). This theory has both combinatorial and geometric aspects and draws on techniques from a wide range of mathematical areas, including graph theory, matroid theory, positive semidefinite programming, representation theory of symmetry groups, algebraic and projective geometry, and even operator theory.
Since the rigidity and flexibility properties of a structure—either man-made, such as a building, bridge or mechanical linkage, or found in nature, such as a biomolecule, protein or crystal—are critical to its form, behavior and functioning, rigidity theory has many practical applications in fields such as engineering, robotics, computer-aided design, materials science, medicine and biochemistry.
Since symmetry appears widely in both natural and man-made structures, the study of structures with additional symmetry—both finite structures with point group symmetry and infinite structures with periodic or crystallographic symmetry—is an important area of research which has seen a dramatic increase in interest over the last few years, both in mathematics and in the applied sciences.
The aim of this special issue of “Symmetry” is to present a broad spectrum of the latest developments and current research concerning the rigidity and flexibility of symmetric geometric constraint systems, and to foster the exchange of ideas among workers who focus on different aspects and applications of the field.
Dr. Bernd Schulze
Manuscript Submission Information
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- rigidity of frameworks
- geometric constraint systems
- symmetric frameworks
- point group symmetry
- periodic frameworks
- crystallographic symmetry
- molecular structures
- pebble game algorithms
- gain graphs