A Further Study on the Degree-Corrected Spectral Clustering under Spectral Graph Theory

Regularized Spectral Clustering under the Degree-Corrected Stochastic Blockmodel

Spectral clustering is a fast and popular algorithm for finding clusters in networks. Recently, Chaudhuri et al. [1] and Amini et al. [2] proposed inspired variations on the algorithm that artificially inflate the node degrees for improved statistical performance. The current paper extends the previous statistical estimation results to the more canonical spectral clustering algorithm in a way t...

Spectral Graph Clustering

Spectral clustering is a powerful technique in data analysis that has found increasing support and application in many areas. This report is geared to give an introduction to its methods, presenting the most common algorithms, discussing advantages and disadvantages of each, rather than endorsing one of them as the best, because, arguably, there is no black-box algorithm, which performs equally...

Lectures on Spectral Graph Theory

Contents Chapter 1. Eigenvalues and the Laplacian of a graph 1 1.1. Introduction 1 1.2. The Laplacian and eigenvalues 2 1.3. Basic facts about the spectrum of a graph 6

Spectral graph theory

With every graph (or digraph) one can associate several different matrices. We have already seen the vertex-edge incidence matrix, the Laplacian and the adjacency matrix of a graph. Here we shall concentrate mainly on the adjacency matrix of (undirected) graphs, and also discuss briefly the Laplacian. We shall show that spectral properies (the eigenvalues and eigenvectors) of these matrices pro...

Spectral graph theory