According to one embodiment of the present invention, a method of constructing network communication for a grid of node groups is provided, the grid including an M dimensional grid, each node group including N nodes, wherein M is greater than or equal to one and N is greater than one, wherein each node includes a router. The method includes directly connecting each node in each node group to every other node in the node group via intra-group links and directly connecting each node in each node group of the M dimensional grid to a node in each neighboring node group in the M dimensional grid via inter-group links.