Description
Graph Drawing is the science of finding an intuitive visualization of a network (or in mathematical terms of a graph). One approach is to define energy functions that represent design criteria for graph layouts. It happens to be that the eigenvalues of graph related matrices are locally optimal solutions for some of the energy functions. Using the eigenvalues for a graph layout is called Spectral Graph Drawing.This book is a survey of Spectral Graph Drawing methods. Graph layouts of several graph-related matrices, such as the adjacency or the Laplace matrix, are studied. There is a special section on the implementation of the graph layouts using the power iteration. At the end the focus is extended to the special requirements for Dynamic Spectral Graph Drawing, i.e. time-variant graphs are drawn with spectral methods. Thomas Puppe has studied Mathematics and Computer Science at the Universities of Bayreuth and Konstanz. His research focus lies on Graph Algorithms, where he has won a scientific contest and published several papers. Since graduation he is working in the financial industry.
