Regular Graphs
A Spectral Approach
Seiten
This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics.
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
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
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
| Erscheinungsdatum | 26.04.2017 |
|---|---|
| Reihe/Serie | De Gruyter Series in Discrete Mathematics and Applications ; 4 |
| Zusatzinfo | 30 col. ill., 10 b/w tbl. |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Gewicht | 559 g |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Schlagworte | construction of regular graphs • constructions of regular graphs • Expanders • Expandierender Graph • Graph • Graphentheorie • Regulärer Graph • regular graphs with high symmetry • Spectral properties of regular graphs • Spektrum <Mathematik> |
| ISBN-10 | 3-11-035128-5 / 3110351285 |
| ISBN-13 | 978-3-11-035128-6 / 9783110351286 |
| Zustand | Neuware |
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