The influence of Miroslav Fiedler on spectral graph theory
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The inuence of Miroslav Fiedler on spectral graph theory
This note is a write up of a talk given at the ILAS meeting in Braunschweig, 2011, at the minisymposium celebrating the 80th birthday of Miroslav Fiedler. The purpose of the talk is to outline the impact of Fiedlers work on the development of spectral graph theory. Fiedler is best known for putting forward the algebraic connectivity and its eigenvector. These two topics were genuine gold strik...
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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
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15 صفحه اولSpectral 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...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.03.003