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Distance Regular Antipodal Covers Of Strongly Regular Graphs

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Distance Regular Antipodal Covers Of Strongly Regular Graphs

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Author : Chris D. Godsil
language : en
Publisher: Faculty of Mathematics, University of Waterloo
Release Date : 1990

Distance Regular Antipodal Covers Of Strongly Regular Graphs written by Chris D. Godsil and has been published by Faculty of Mathematics, University of Waterloo this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Combinatorial packing and covering categories.

We use geometric properties of antipodal distance regular covers to show that infinite families of strongly regular graphs (Steiner graphs and latin square graphs) have no antipodal distance regular covers.

Distance Regular Graphs

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Author : Andries E. Brouwer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Distance Regular Graphs written by Andries E. Brouwer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Some Problems In The Theory Of Distance Regular Graphs

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Author : Benjamin V. C. Collins
language : en
Publisher:
Release Date : 1996

Some Problems In The Theory Of Distance Regular Graphs written by Benjamin V. C. Collins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Homotopy And Distance Regular Graphs

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Author : Heather Ames Lewis
language : en
Publisher:
Release Date : 1997

Homotopy And Distance Regular Graphs written by Heather Ames Lewis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Regular Graphs

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Author : Zoran Stanić
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-04-24

Regular Graphs written by Zoran Stanić and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-24 with Mathematics categories.

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

Strongly Regular Graphs

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Author : Andries E. Brouwer
language : en
Publisher:
Release Date : 2022-01-13

Strongly Regular Graphs written by Andries E. Brouwer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Language Arts & Disciplines categories.

This monograph on strongly regular graphs is an invaluable reference for anybody working in algebraic combinatorics.