Regular Graphs

Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds with basic properties, specific subclasses of regular graphs (like distance-regular graphs, strongly regular graphs, various designs or expanders) and determining particular regular graphs. Each chapter contains detailed proofs, discussions, comparisons, examples, exercises and also indicates possible applications. Finally, the author also includes some conjectures and open problems to promote further research.

Contents
Spectral properties
Particular types of regular graph
Determinations of regular graphs
Expanders
Distance matrix of regular graphs

• An advanced text on the spectral theory of regular graphs
• Presents classical as well as recent research results
• Pedagogical exposition of the topic, including many examples and exercises, along with applications

Zoran Stanić, University of Belgrade, Serbia.

"It’s a well written and serious book, on an intrinsically accessible subject, modulo one’s willingness to work, of course. The proofs are there, but are pretty crisp, and there and lots of (good) exercises: time to get your hands nice and dirty."
Michael Berg in: www.mma.org, 2017

"Altogether, the monograph provides a concise and self-contained treatment of the spectral theory of regular
graphs containing interesting examples as well as exercises and a long list of references." K. Auinger: Monatshefte für Mathematik, 2019, Vol. 190, 789