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

Format:

Book

Author/Creator:

Stanić, Zoran, 1975- author.

Series:

De Gruyter series in discrete mathematics and applications ; Volume 4.

De Gruyter Series in Discrete Mathematics and Applications ; Volume 4

Language:

English

Subjects (All):

Graph theory.

Physical Description:

1 online resource (250 pages)

Edition:

1st ed.

Place of Publication:

Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, 2017.

Language Note:

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:

9783110383362

3110383365

OCLC:

987953656