Network Science

• A complex network is a graph with non-trivial features. Normally, these correspond to some patterns that are neither purely regular or purely random.
• Much can be understood from analyzing the structure of everyday networks. Networks permeate many of our daily systems (i.e. social systems, the Internet, protein interactions, etc…).
• Understanding communities through the lens of network science provides an explanation for why “like-attracts-like” . It is interesting to see this applied in a social setting where niche communities cluster around a common interest. This appears to be ubiquitous in the modern day.

Topics §

• Network Science — Notation Guide

• Fundamental Constructs of Network Science

  • Preferential Attachment

• Characterizing Real Networks and Network Phenomena

  • Network Robustness
  • Network Degree Correlation
  • Network Communities

• Random Network

• Small World Networks

• Scale Free Network

• Network Epidemiology

Links §

• Network Science by Barabasi
• Shapiro, MacDonald and Greenlaw - Ch. 4