Usage of Clustering of Paley Graphs in Polar Coordinates for the Development of New Network on Chip Topologies

The article presents a study of clustering of Paley graphs with the arrangement of prime numbers in polar coordinates and a comparison of the resulting groups in terms of their static parameters; the application of fault-tolerant self-organizing routing method for new topologies is also considered. In the process of studying Paley graphs in polar coordinates, the Archimedes spiral was used as the basis for the arrangement of numbers and the Dirichlet theorem for classifying prime numbers. This article is a continuation of a series of articles related to the study of circulant graphs and their modifications in the field of network-on-chip design.