On a composition of digraphs
Severini, Simone
Original · EN
Many "good" topologies for interconnection networks are based on line digraphs of regular digraphs. These digraphs support unitary matrices. We propose the property "being the digraph of a unitary matrix" as additional criterion for the design of new interconnection networks. We define a composition of digraphs, which we call diagonal union. Diagonal union can be used to construct digraphs of unitary matrices. We remark that digraphs obtained via diagonal union are state split graphs, as defined in symbolic dynamics. Finally, we list some potential directions for future research.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.