![]() Generic realization for which the framework is generically rigid. No explicit embedding) is said to be rigid iff there is a This occurs when the coordinates of all points are algebraically independent over the field of rationals If the rigidity matrix is equal to the rigidity matroid. Is infinitesimally rigid iff the rank of its rigidity Such that every framework which is equivalent to and satisfies for all is congruent to the framework. Maintaining the bar constraints comes from a family of motions of all Euclidean To velocity vectors) and static rigidity (which considers forces and loads on theĪ framework consisting of bars is said to be (infinitesimally) rigid iff continuous motion of the points of the configuration Ways: infinitesimal rigidity (which considers infinitesimal displacements corresponding Struts are sometimes also considered.) Rigidity of a framework, i.e., a structure with vertex coordinates and underlying graph having vertex set and edge set, can be thought of in two equivalent ![]() To incident vertices via flexible hinges. The more common meaning of rigidity considers a graph's resistance to deformation, where graph edges are commonly taken as rigid straight bars or rods that are connected Graph" (e.g., Albertson and Collins 1996). Instead referred to using the more common term " identity Firstly, a rigid graph may refer to a graph having a graphĪutomorphism group containing a single element. The word "rigid" has two different meaning when applied to a graph.
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