Entropy in Dynamical Networks

Abstract

This thesis presents a new type of dynamical entropy, defined by the movement of particles beetween the nodes in a network. The entropy is intended to have similar properties as the well-known thermodynamic entropy. Simulations are run on different versions of known networks, and exhibits expected behaviour. A few applications of the variable have also been suggested, in which topographical properties, centrality and node distance is decided in relative terms for spesific networks. In addition, a historical recap is the science of thermodynamics and networks is given, and also an explanation to how these fields have come together over the recent years, culminating in this effort to further connect them.