Network Connectivity


Network Connectivity The overall degree of connectivity to a network will be a primary factor determining many features to the system One of the defining features of a network is its overall degree of connectivity, which might qualify as the defining feature. Going from a system with a low degree of connectivity to [...]

Network Diameter


Network Diameter The question of network diameter is asking how many hops one needs to make to get from one side of the network to the other The size of a network is important not so much because of the sheer quantity of elements we are dealing with, but more because it sets [...]

Network Degree Distribution


Network Degree Distribution This map of London's underground transport network shows stations with varying degree distributions from one up to five or more A key parameter to the make-up of any network is the network’s degree distribution. Degree distribution tries to capture the difference in the degree of connectivity between nodes in a [...]

Network Clustering


Network Clustering This network of major high-speed rail operators in Europe exhibits the property of clustering, with the appearance of major national sub-components The way in which a network is connected plays a large part in how we analyze and interpret it. When analyzing connectedness and clustering, we are asking how integrated or [...]

Network Dynamics


Network Dynamics A large graph depicting the connections between cities, courtesy of Matt Biddulph. Network Dynamics is the study of how networks are formed, strengthened and ultimately dissolved. It studies networks over the course of their full life-cycle. The study of how networks form, grow and change over time is a relatively new area [...]

Network Robustness


Network Robustness Robustness within financial markets has been a growing area of interest since the previous financial crisis, as heightened connectivity and the presence of major hubs were identified as key drivers in the failure of the system Robustness & resilience are often thought of in terms of a system's capacity to maintain [...]

Network Diffusion & Contagion


Network Diffusion & Contagion Viral videos on social networks are an example of rapid diffusion along a network due to heightened connectivity How something spreads across a network is a key question of interest when analyzing many different networks, the classical example of this being the diffusion of a disease through some population. [...]

Centralized & Power Law Networks


Centralized & Power Law Networks Urban networks are examples of scale-free networks with the occurrence of major urban hubs following a power law distribution Centralized networks represent networks with a very high degree distribution, meaning in this type of network structure there will be very many nodes with a very low level of [...]

Decentralized & Small World Networks


Decentralized & Small World Networks An example of a decentralized network with local hubs but no central global hub A decentralized network is one without any overall dominant central hub. But instead, a network that has some nodes with a higher degree of connectivity than others, giving the overall topology local clusters with [...]

Random & Distributed Networks


Random & Distributed Networks Random networks represent networks with a very even and normal degree distribution due to the fact that they have been created through a random set of rules A random network is more formally termed the Erdős–Rényi random graph model, so named after two mathematicians who first introduced a set [...]