Franklin

Regular graphs : a spectral approach / Prof. Dr. Zoran Stanic, University of Belgrade, Faculty of Mathematics, Belgrade, Serbia.

Author/Creator:
Stanić, Zoran, 1975- author.
Publication:
Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, 2017.
Format/Description:
Book
1 online resource (250 pages)
Series:
De Gruyter series in discrete mathematics and applications ; Volume 4.
De Gruyter Series in Discrete Mathematics and Applications ; Volume 4
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Details

Subjects:
Graph theory.
Form/Genre:
Electronic books.
Language:
In English.
Summary:
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
Contents:
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
Notes:
Includes bibliographical references and index.
Description based on print version record.
ISBN:
3-11-038336-5
OCLC:
987953656
Publisher Number:
10.1515/9783110351347 doi