Symmetry-guided design of topologies for supercomputer networks
Alan Utsuni Sabino, Miguel F. S. Vasconcelos, Yuefan Deng, Alexandre Ferreira Ramos · International Journal of Modern Physics C · 2018
A family of graphs optimized as the topologies for interconnection networks is proposed. The needs of such topologies with minimal diameters and minimal mean path lengths are met by special constructions of the weight vectors in a representation of the symplectic algebra. Such design of topologies can conveniently reconstruct the mesh and hypercube, widely used as network topologies, as well as many other classes of graphs potentially suitable for network topologies.