Network theory is one of the most exciting and dynamic areas of science today with new breakthroughs coming every few years as we piece together a whole new way of looking at the world, a true paradigm shift that is all about connectivity. The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and computer science to almost all areas of social science.
This is an introductory book where we present the topics surrounding network theory in a non-mathematical and intuitive form that should not require any specific prior knowledge of science as the book is designed to be accessible to anyone with an interest in the subject. During the book, we will explore all the major topics in this area.
Network Paradigm A paradigm is a set of methods and assumptions that constitute a whole way of seeing the world 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 us from seeing others, and more importantly [...]
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 computer software. Network science is supported by the formal language of graph theory, a relatively new area of mathematics that provides a standardized language with which to talk about and quantify [...]
Graph Theory In the formal language of mathematics, a network is called a graph, and graph theory is the area of mathematics that studies these objects called graphs. Graph theory is a relatively new area of mathematics that gives us a formal language with which to describe networks.View Source The first theory of graphs [...]
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 of connectivity can be interpreted in terms of the immediate likelihood of a node catching whatever is flowing through the network.View Source [...]
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 parts are interrelated or arranged.View Source Within the context of network theory, it defines the way different nodes are placed and interconnected with respect to each other and the overall patterns [...]
Network Connectivity 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 one with a high degree of connectivity is not just a quantitative change in the number of edges within the network. [...]
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 the context for how close or far on average one node in the network is from another. And this is important because it will tell us how [...]