Mathematics of rigidity | Matroid theory

Rigidity matroid

In the mathematics of structural rigidity, a rigidity matroid is a matroid that describes the number of degrees of freedom of an undirected graph with rigid edges of fixed lengths, embedded into Euclidean space. In a rigidity matroid for a graph with n vertices in d-dimensional space, a set of edges that defines a subgraph with k degrees of freedom has matroid rank dn − k. A set of edges is independent if and only if, for every edge in the set, removing the edge would increase the number of degrees of freedom of the remaining subgraph. (Wikipedia).

Rigidity matroid
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Louis Theran: Rigidity of Random Graphs in Higher Dimensions

I will discuss rigidity properties of binomial random graphs G(n,p(n)) in fixed dimension d and some related problems in low-rank matrix completion. The threshold for rigidity is p(n) = Θ(log n / n), which is within a multiplicative constant of optimal. This talk is based on joint work wi

From playlist HIM Lectures 2015

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From playlist PHYSICS 16.6 TORSION

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From playlist PHYSICS 16.6 TORSION

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Gyula Pap: Linear matroid matching in the oracle model

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From playlist HIM Lectures 2015

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From playlist Follow-Up-Workshop "Combinatorial Optimization"

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From playlist Home Science Videos - Cool Science Experiments

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From playlist Mechanics of Materials / Strength of Materials

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From playlist Teaching Rigid Body Dynamics

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Joseph Bonin: Delta-matroids as subsystems of sequences of Higgs lifts

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From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra

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From playlist HIM Lectures 2015

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Anna De Mier: Approximating clutters with matroids

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From playlist Combinatorics

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Zoltán Szigeti: Packing of arborescences with matroid constraints via matroid intersection

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From playlist Follow-Up-Workshop "Combinatorial Optimization"

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Michael Falk, Research talk - 9 February 2015

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From playlist Algebraic topology, geometric and combinatorial group theory - 2015

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Sahil Singla: Online Matroid Intersection Beating Half for Random Arrival

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From playlist HIM Lectures 2015

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From playlist Vanderbilt: Introduction to Computer Programming with MATLAB (CosmoLearning Computer Programming)

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From playlist CMSA Combinatorics Seminar

Related pages

Graphic matroid | Algebraic independence | Linear independence | Bridge (graph theory) | K-vertex-connected graph | Congruence (geometry) | Matroid rank | Laman graph | Triangulation | Complete graph | Structural rigidity | Gradient | Euclidean space | Diamond graph | Matroid | Incidence matrix