Network Paradigm All models and theories are like windows onto the world. None of them are perfect. They all enable us to see some things but also inhibit...

Network Science Network science is the area of science and mathematics that tries to analyze and interpret networks based upon data and the use of comput...

Graph Theory Graph Theory In the formal language of mathematics, a network is called a graph, and graph theory is the area of mathematics that studies...

Degree of Connectivity The degree of connectivity to a node in a network is a measure of the number of in and out links the node has to other nodes. This degree...

Network Topology Network topology refers to the overall make-up and structure to a network, with the word topology meaning the way in which constituent pa...

Network Connectivity Network Connectivity One of the defining features of a network is its overall degree of connectivity, which might qualify as the defining...

Network Diameter 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 th...

Network Degree Distribution Network Degree Distribution A key parameter to the make-up of any network is the network’s degree distribution. Degree distribution tries...

Network Clustering The way in which a network is connected plays a large part in how we analyze and interpret it. When analyzing connectedness and clusterin...

Network Dynamics The study of how networks form, grow and change over time is a relatively new area of research, but it is critical to understand how to f...

Network Robustness Network Robustness Robustness & resilience are often thought of in terms of a system’s capacity to maintain functionality in the face of ...

Network Diffusion & Contagion How something spreads across a network is a key question of interest when analyzing many different networks, the classical example of thi...

Centralized & Power Law Networks Centralized & Power Law Networks Centralized networks represent networks with a very high degree distribution, meaning in this type of ne...

Decentralized & Small World Networks A decentralized network is one without any overall dominant central hub. But instead, a network that has some nodes with a higher degree ...

Random & Distributed Networks A random network is more formally termed the Erdős–Rényi random graph model, so named after two mathematicians who first introduced a set...

Network Centrality Network Centrality Centrality is a measure that tells us how influential or significant a node is within the overall network.1 This conce...

Network Effects The network effect arises when users gain value from others using the same network. The more people that join the more value for everyone...

Complex Contagion Complex contagion is the phenomenon in social networks in which multiple sources of exposure to some alteration are required before an in...

Multiplex Networks A multiplex network is a network model composed of a multiplicity of overlapping networks that capture the different types of connections...