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
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
Regular Graphs: A Spectral Approach
247
Regular Graphs: A Spectral Approach
247Related collections and offers
Product Details
| ISBN-13: | 9783110383362 |
|---|---|
| Publisher: | De Gruyter |
| Publication date: | 04/24/2017 |
| Series: | De Gruyter Series in Discrete Mathematics and Applications , #4 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| Pages: | 247 |
| File size: | 42 MB |
| Note: | This product may take a few minutes to download. |
| Age Range: | 18 Years |