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A Brief Introduction to Spectral Graph Theory (EMS Textbooks in Mathematics) - Hardcover

 
9783037191880: A Brief Introduction to Spectral Graph Theory (EMS Textbooks in Mathematics)

Synopsis

Spectral graph theory starts by associating matrices to graphs notably, the adjacency matrix and the Laplacian matrix. The general theme is then, first, to compute or estimate the eigenvalues of such matrices, and, second, to relate the eigenvalues to structural properties of graphs. As it turns out, the spectral perspective is a powerful tool. Some of its loveliest applications concern facts that are, in principle, purely graph theoretic or combinatorial. This text is an introduction to spectral graph theory, but it could also be seen as an invitation to algebraic graph theory. The first half is devoted to graphs, finite fields, and how they come together. This part provides an appealing motivation and context for the second spectral half. The text is enriched by many exercises and their solutions. The target audience is students at the upper undergraduate level and above. The book only assumes a familiarity with linear algebra and basic group theory. Graph theory, finite fields, and character theory for abelian groups receive a concise overview and render the text essentially self-contained.

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About the Author

Bogdan Nica: McGill University, Montreal, Canada A publication of the European Mathematical Society

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  • PublisherEuropean Mathematical Society
  • Publication date2018
  • ISBN 10 3037191880
  • ISBN 13 9783037191880
  • BindingHardcover
  • LanguageEnglish
  • Number of pages168

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Nica, Bogdan
Published by European Mathematical Society, 2018
ISBN 10: 3037191880 ISBN 13: 9783037191880
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Bogdan Nica
Published by European Mathematical Society, 2018
ISBN 10: 3037191880 ISBN 13: 9783037191880
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