Computational Network Science

Chapter 5

Network Dynamics

Abstract

Dynamics is an inherent attribute in nonstationary networks. Topological and interpersonal changes produce network volatilities. Relationships blossom and wither over time producing social networks that ebb and flow over time. Some networks grow while others shrink. A network might split into smaller networks. An example is a nucleus family that spawns offspring networks. It is also possible that networks merge into larger ones. Teaming and cooperative coalition formations are merging mechanisms that might lead to economic monopolies and monopsonies. Some networks such as in the law enforcement are formed impromptu, whereas others reflect volatility in relationships. Time graphs and Markov chains are formal, ...