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Beschreibung

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.

Über den Autor

Kiyan Naderi is a researcher at Carl von Ossietzky University in Oldenburg, Germany.

Konstantin Pankrashkin is a professor for analysis and its applications at Carl von Ossietzky University in Oldenburg, Germany.

Inhaltsverzeichnis

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.

Details
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
Artikel-ID: 134425000

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