Advanced & Applied Topics · Network Analysis & Graph Theory

Network and Graph Analysis: Dynamic Processes and Temporal Networks

Public introduction · full guide in Eikos

Introduction

What this guide covers

Mathematical and statistical analysis of transport, diffusion and epidemic propagation phenomena on static, dynamic and temporal evolution topologies.

Overview

Topics covered

  • Introduction
  • Dynamic Processes and Temporal Networks
  • Fundamentals of Graphs and Spectral Operators
  • Symmetric Normalized Laplacian and Random Walk
  • Diffusion and Random Walks
  • Consensus Networks and Centrality Metrics

Related concepts

Main connections

  • Linear algebra & matrices
  • Calculus & differentiation
  • Mean & expected value
  • Meta-analysis & heterogeneity
  • Skewness & kurtosis
  • Permutation & exact tests

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

Aij={wijif (vi,vj)∈E0In another case
View LaTeX sourceA_{ij} = \begin{cases} w_{ij} & \text{if } (v_i, v_j) \in E \\ 0 & \text{In another case} \end{cases}