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Introduction to spectral graph theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to spectral graph theoryby Kiyan Naderi, Konstantin Pankrashkin.
Author:	Naderi, Kiyan.
other author:	Pankrashkin, Konstantin.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xii, 204 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Graph theory.
Online resource:	https://doi.org/10.1007/978-3-032-01708-6
ISBN:	9783032017086$q(electronic bk.)

Introduction to spectral graph theory
Naderi, Kiyan.

Introduction to spectral graph theory[electronic resource] /by Kiyan Naderi, Konstantin Pankrashkin. - Cham :Springer Nature Switzerland :2025. - xii, 204 p. :ill. (some col.), digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

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.

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.

ISBN: 9783032017086$q(electronic bk.)

Standard No.: 10.1007/978-3-032-01708-6doiSubjects--Topical Terms:

181880
Graph theory.

LC Class. No.: QA166

Dewey Class. No.: 511.5

Introduction to spectral graph theory
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245 1 0 $a Introduction to spectral graph theory $h [electronic resource] / $c by Kiyan Naderi, Konstantin Pankrashkin.
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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.
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