Rigidity of Frameworks Supported on Surfaces
نویسندگان
چکیده
A theorem of Laman gives a combinatorial characterisation of the graphs that admit a realisation as a minimally rigid generic bar-joint framework in R. A more general theory is developed for frameworks in R whose vertices are constrained to move on a two-dimensional smooth submanifold M. Furthermore, when M is a union of concentric spheres, or a union of parallel planes or a union of concentric cylinders, necessary and sufficient combinatorial conditions are obtained for the minimal rigidity of generic frameworks.
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 26 شماره
صفحات -
تاریخ انتشار 2012