Introduction to Spectral Graph Theory

This book offers an introduction to key topics in spectral graph theory. In spectral graph theory, various properties of graphs are studied using methods from linear algebra, particularly through the eigenvalues and eigenvectors of different matrices that describe the graph structure. Various aspects of graph theory find applications within the field of data science.
In this book, the necessary foundations of abstract graph theory and linear algebra are covered in parallel, making it suitable for students in their early semesters. The book has been tested multiple times in one-semester-long lectures and is therefore well-suited as a basis for a course and a collection of exercises for instructors.

List of contents

Chapter 1. Elementary Theory.- Chapter 2. Graph Properties and Min-Max Principle.- Chapter 3. Partitions and Eigenfunctions.- Chapter 4. Planarity and Colin de Verdiére Invariant.

Product details

• Authors: Kiyan Naderi, Konstantin Pankrashkin
• Publisher: Springer, Berlin
• Original title: Einführung in die spektrale Graphentheorie
• Languages: English
• Product format: Paperback / Softback
• Release: 08.10.2025
• EAN: 9783032017079
• ISBN: 978-3-0-3201707-9
• No. of pages: 180
• Illustrations: Approx. 180 p.
• Series: Compact Textbooks in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Diskrete Mathematik, Discrete Mathematics, Graph Theory, Eigenvalues, Partitions, planar graphs, Adjacency matrix, Eigenfunction, Nodal theorem, Applications of linear algebra, Laplace matrix