Fig. 3.
Network diagnostics reveal different types of structure in granular packings. The two panels show the same compressed collection of photoelastic disks. One can measure the forces between particles and use the magnitude of the force between particle $i$ and particle $j$ to weight the edge between node $i$ and node $j$ in a weighted, undirected graph representation of the packing. (a) One can compute a weighted clustering coefficient at each network node (i.e., particle) to probe local structure in the packing. (b) One can compute a weighted betweenness centrality at each network node to probe how often its associated particle lies on a weighted shortest path between any two particles in the packing. We adapted this figure, with permission, from [21].

Network diagnostics reveal different types of structure in granular packings. The two panels show the same compressed collection of photoelastic disks. One can measure the forces between particles and use the magnitude of the force between particle |$i$| and particle |$j$| to weight the edge between node |$i$| and node |$j$| in a weighted, undirected graph representation of the packing. (a) One can compute a weighted clustering coefficient at each network node (i.e., particle) to probe local structure in the packing. (b) One can compute a weighted betweenness centrality at each network node to probe how often its associated particle lies on a weighted shortest path between any two particles in the packing. We adapted this figure, with permission, from [21].

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