Regular Graphs : : A Spectral Approach / / Zoran Stanić.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2017 Part 1
• VerfasserIn: Stanić, Zoran,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2017]; ©2017
• Year of Publication: 2017
• Language: English
• Series: De Gruyter Series in Discrete Mathematics and Applications , 4
• Physical Description: 1 online resource (XI, 236 p.)
• Other title: Frontmatter --; Preface --; Contents --; List of Figures --; 1 Introduction --; 2 Spectral properties --; 3 Particular types of regular graph --; 4 Determinations of regular graphs --; 5 Expanders --; 6 Distance matrix of regular graphs --; References --; Graph index --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110351347; 9783110762495; 9783110719543; 9783110540550; 9783110625264; 9783110548204
• ISSN: 2195-5557
• DOI: 10.1515/9783110351347
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Zoran Stanić.

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