Regular Graphs : A Spectral Approach
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| Title: | Regular Graphs : A Spectral Approach |
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| Description: | 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. ContentsSpectral propertiesParticular types of regular graphDeterminations of regular graphsExpandersDistance matrix of regular graphs |
| Authors: | Zoran Stanić |
| Resource Type: | eBook. |
| Subjects: | Spectral theory (Mathematics), Graph theory |
| Categories: | MATHEMATICS / Discrete Mathematics, MATHEMATICS / Combinatorics |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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. ContentsSpectral propertiesParticular types of regular graphDeterminations of regular graphsExpandersDistance matrix of regular graphs |
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| ISBN: | 9783110351286 9783110351347 9783110383362 9783110351354 |
