Spectra of Graphs (Universitext)

Book Details

• Author: Andries E. Brouwer

• Publisher: Springer

• Language: English

• Edition: 2012

• ISBN: 9781461419389

• Number of Pages: 250

• Binding: Hardcover

• Package Dimensions: 9.5 x 6.3 x 0.8 inches

About The Book

Spectra of Graphs by Andries E. Brouwer is a foundational text that provides a clear and accessible treatment of graph spectra, making it an essential resource for anyone delving into this branch of mathematics. The book addresses both the theoretical and practical aspects of graph spectra, covering ordinary spectra, as well as Laplace and Seidel spectra in great detail.

This book is structured to build knowledge progressively, first exploring standard topics in graph theory before advancing to more specialized material. Readers will explore key concepts such as trees, strongly regular graphs, two-graphs, association schemes, and the p-ranks of configurations.

Each chapter concludes with a set of exercises that allow readers to apply the theory in practical ways, ranging from simple yet insightful applications to deeper excursions into related topics. The inclusion of tables, references, and an author and subject index further enriches the book, making it an invaluable reference for researchers and educators alike.

Written for researchers, graduate students, and teachers, Spectra of Graphs assumes familiarity with basic linear algebra and eigenvalues, although it also introduces advanced topics like the Perron-Frobenius theorem and eigenvalue interlacing. Whether you’re a student looking to deepen your understanding or a professional seeking a comprehensive resource on graph spectra, this book provides the perfect blend of clarity and depth.