Finite and Infinitesimal Rigidity with Polyhedral Norms
نویسنده
چکیده
We characterise finite and infinitesimal rigidity for bar-joint frameworks in R with respect to polyhedral norms (i.e. norms with closed unit ball P a convex d-dimensional polytope). Infinitesimal and continuous rigidity are shown to be equivalent for finite frameworks in R which are well-positioned with respect to P. An edge-labelling determined by the facets of the unit ball and placement of the framework is used to characterise infinitesimal rigidity in R in terms of monochrome spanning trees. An analogue of Laman’s theorem is obtained for all polyhedral norms on R. 52C25 and 52A21 and 52B12
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عنوان ژورنال:
- Discrete & Computational Geometry
دوره 54 شماره
صفحات -
تاریخ انتشار 2015