Advanced & Applied Topics · Network Analysis & Graph Theory

Network and graph analysis: Centrality metrics and structural cohesion

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Academic Level Technical Treatise

Overview

Topics covered

  • Introduction
  • Network and Graph Analysis: Centrality and Cohesion Metrics
  • Graph Algebra and Spatial Matrix Operations
  • 1.1 Adjacency Matrix and Spectrum Properties
  • 1.2 The Laplacian Operator of a Graph
  • 1.3 Algebra of Paths and Power Operations of Matrices

Related concepts

Main connections

  • Linear algebra & matrices
  • Mean & expected value
  • Binomial distribution
  • Unsupervised learning & clustering
  • Preprocessing pipelines & transform recipes
  • Poisson distribution

Compatible notation

Mathematical sample in LaTeX

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

Aij={ 1if (vi,vj)∈E 0In another case
View LaTeX sourceA_{ij} = \begin{cases} 1 & \text{if } (v_i, v_j) \in E \\ 0 & \text{In another case} \end{cases}