Fig. 1
From: An analytical solution to the multicommodity network flow problem with weighted random routing
a Load as a function of the logarithm of the distance r from the center of a square lattice. Demand is only broadcast from the center, uniformly to all other nodes. For definiteness, the load is shown for nodes along the x axis, for a lattice with \(N = 1600^2.\) The dashed line has a slope of \(-2/\pi .\) b Load at the center as a function of N, the number of nodes in the square lattice, when demand is broadcast from the center equally to all nodes. The \((2/\pi ) \ln N\) dependence is in agreement with the analytical results