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 aspect...

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Detalhes bibliográficos
Main Authors: Naderi, Kiyan (Author), Pankrashkin, Konstantin (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: Recurso Electrónico livro electrónico
Idioma:inglês
Publicado em: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edição:1st ed. 2025.
Colecção:Compact Textbooks in Mathematics,
Assuntos:
Acesso em linha:https://doi.org/10.1007/978-3-032-01708-6
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505 0 |a 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. 
520 |a 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. 
532 8 |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. 
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