# Jamming graphs: a local approach to global mechanical rigidity.

@article{Lopez2013JammingGA, title={Jamming graphs: a local approach to global mechanical rigidity.}, author={Jorge H Lopez and L. Cao and J. M. Schwarz}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2013}, volume={88 6}, pages={ 062130 } }

We revisit the concept of minimal rigidity as applied to frictionless, repulsive soft sphere packings in two dimensions with the introduction of the jamming graph. Minimal rigidity is a purely combinatorial property encoded via Laman's theorem in two dimensions. It constrains the global, average coordination number of the graph, for example. However, minimal rigidity does not address the geometry of local mechanical stability. The jamming graph contains both properties of global mechanical…

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