When is a bipartite graph a rigid framework

We present a minimal rigid graph in the plane whose vertex set cannot be constructed by ruler and compass from the data on the distances between adjacent vertices. We consider those graphs whose … Expand. View 1 excerpt, cites background. Global Rigidity : An algorithm and the effect of coning. Recent results have confirmed that the global rigidity of bar and joint frameworks on a graph G is a generic property in Euclidean spaces of all dimensions.

While this creates the possibility of a … Expand. Global Rigidity: The Effect of Coning. A recently established criterion for stresses on any bar and joint framework with a complete bipartite graph is converted into explicit criteria for infinitesimal motions of the framework. These … Expand. Highly Influenced. View 3 excerpts, cites background and methods. Sufficient conditions for the global rigidity of graphs.

Graph connectivity and universal rigidity of bar frameworks. The rigidity of graphs, II. View 3 excerpts, references background. The rigidity of graphs.

Consider the … Expand. Higher Order Independence in Matroids. One may regard vectors in a finite dimensional vector space as being linear forms in a polynomial ring in an obvious way. A collection of linear forms satisfying various linear dependence relations … Expand.

Rigid and Flexible Frameworks. The rigidity of graphs, Trans. Related Papers. Coxeter, H. Geometry Revisited. Washington, DC: Math. Crapo, H. Croft, H. New York: Springer-Verlag, pp. Dehn, M. Goldberg, M. Graver, J. Combinatorial Rigidity.

Providence, RI: Amer. Maehara, H. Roth, B. Monthly 88 , , Weisstein, Eric W. Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. Walk through homework problems step-by-step from beginning to end. Hints help you try the next step on your own.

Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more.

MathWorld Book. Wolfram Web Resources ». Created, developed, and nurtured by Eric Weisstein at Wolfram Research. Wolfram Alpha » Explore anything with the first computational knowledge engine. Wolfram Demonstrations Project » Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more.