Dynamically generated Networks

Abstract

Simple algebraic rules can produce complex networks with rich structures. These graphs are obtained when looking at a monoid operating on a ring. There are relations to dynamical systems theory and number theory. This document illustrates this class of networks introduced together with Montasser Ghachem. Besides showing off pictures, we look at elementary results related to the Chinese remainder theorem, the Collatz problem, the Artin constant, Fermat primes and Pierpont primes.