An Intruduction Sic To Distance Regular Graphs
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Author | : Zoran Stanić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 313 |
Release | : 2017-04-24 |
Genre | : Mathematics |
ISBN | : 3110383365 |
Download Regular Graphs Book in PDF, Epub and Kindle
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. Contents Spectral properties Particular types of regular graph Determinations of regular graphs Expanders Distance matrix of regular graphs
Author | : Andries E. Brouwer |
Publisher | : Springer Science & Business Media |
Total Pages | : 513 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642743412 |
Download Distance-Regular Graphs Book in PDF, Epub and Kindle
Ever since the discovery of the five platonic solids in ancient times, the study of symmetry and regularity has been one of the most fascinating aspects of mathematics. Quite often the arithmetical regularity properties of an object imply its uniqueness and the existence of many symmetries. This interplay between regularity and symmetry properties of graphs is the theme of this book. Starting from very elementary regularity properties, the concept of a distance-regular graph arises naturally as a common setting for regular graphs which are extremal in one sense or another. Several other important regular combinatorial structures are then shown to be equivalent to special families of distance-regular graphs. Other subjects of more general interest, such as regularity and extremal properties in graphs, association schemes, representations of graphs in euclidean space, groups and geometries of Lie type, groups acting on graphs, and codes are covered independently. Many new results and proofs and more than 750 references increase the encyclopaedic value of this book.
Author | : Cornelius Roos |
Publisher | : |
Total Pages | : 90 |
Release | : 1982 |
Genre | : |
ISBN | : 9780869794944 |
Download An Intruduction [sic] to Distance-regular Graphs Book in PDF, Epub and Kindle
Author | : Benjamin V. C. Collins |
Publisher | : |
Total Pages | : 206 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Some Problems in the Theory of Distance-regular Graphs Book in PDF, Epub and Kindle
Author | : Andries E. Brouwer |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2011-12-17 |
Genre | : Mathematics |
ISBN | : 1461419395 |
Download Spectra of Graphs Book in PDF, Epub and Kindle
This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.
Author | : Chih-wen Weng |
Publisher | : |
Total Pages | : 222 |
Release | : 1995 |
Genre | : |
ISBN | : |
Download D-bounded Distance-regular Graphs Book in PDF, Epub and Kindle
Author | : Bart De Bruyn |
Publisher | : Birkhäuser |
Total Pages | : 380 |
Release | : 2016-11-09 |
Genre | : Mathematics |
ISBN | : 3319438115 |
Download An Introduction to Incidence Geometry Book in PDF, Epub and Kindle
This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. Also the various relationships between these geometries are investigated. Ovals and ovoids of projective spaces are studied and some applications to particular geometries will be given. A separate chapter introduces the necessary mathematical tools and techniques from graph theory. This chapter itself can be regarded as a self-contained introduction to strongly regular and distance-regular graphs. This book is essentially self-contained, only assuming the knowledge of basic notions from (linear) algebra and projective and affine geometry. Almost all theorems are accompanied with proofs and a list of exercises with full solutions is given at the end of the book. This book is aimed at graduate students and researchers in the fields of combinatorics and incidence geometry.
Author | : Zoran Stanić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 247 |
Release | : 2017-04-24 |
Genre | : Mathematics |
ISBN | : 311035134X |
Download Regular Graphs Book in PDF, Epub and Kindle
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. Contents Spectral properties Particular types of regular graph Determinations of regular graphs Expanders Distance matrix of regular graphs
Author | : Brian Curtin |
Publisher | : |
Total Pages | : 322 |
Release | : 1996 |
Genre | : |
ISBN | : |
Download Bipartite Distance-regular Graphs Book in PDF, Epub and Kindle
Author | : Michael S. Lang |
Publisher | : |
Total Pages | : 94 |
Release | : 2001 |
Genre | : |
ISBN | : |
Download Some Results on Bipartite Distance-regular Graphs Book in PDF, Epub and Kindle