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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.
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.
Kiyan Naderi is a researcher at Carl von Ossietzky University in Oldenburg, Germany.
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.
| Erscheinungsjahr: | 2026 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xii
204 S. 1 farbige Illustr. 204 p. 1 illus. in color. |
| ISBN-13: | 9783032017079 |
| ISBN-10: | 3032017076 |
| Sprache: | Englisch |
| Herstellernummer: | 89565455 |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Naderi, Kiyan
Pankrashkin, Konstantin |
| Hersteller: |
Birkhäuser
Springer International Publishing Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 12 mm |
| Von/Mit: | Kiyan Naderi (u. a.) |
| Erscheinungsdatum: | 03.01.2026 |
| Gewicht: | 0,335 kg |