4 edition of **Algebraic graph theory** found in the catalog.

Algebraic graph theory

U. Knauer

- 81 Want to read
- 15 Currently reading

Published
**2011**
by De Gruyter in Berlin, Boston
.

Written in English

- Graph theory,
- Algebraic topology

**Edition Notes**

Includes bibliographical references and index.

Statement | by Ulrich Knauer |

Series | De Gruyter studies in mathematics -- 41 |

Classifications | |
---|---|

LC Classifications | QA166 .K53 2011 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL25149457M |

ISBN 10 | 9783110254082 |

LC Control Number | 2011017050 |

The book includes number of quasiindependent topics; each introduce a brach of graph theory. It avoids tecchnicalities at all costs. I would include in the book basic results in algebraic graph theory, say Kirchhoff's theorem, I would expand the chapter on algorithms, but the book . Algebraic Graph Theory - by Norman Biggs May We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

Book Description: This substantial revision of a much-quoted monograph--originally published in aims to express properties of graphs in algebraic terms, then to deduce theorems about them. /5(9). Algebraic Graph Theory: Morphisms, Monoids and Matrices Ulrich Knauer, Kolja Knauer The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical .

The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph Price: $ Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive /5(17).

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This substantial revision of a much-quoted monograph--originally published in aims to express properties of graphs in algebraic terms, then to deduce theorems about them.

Although the Cited by: Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of by: I came to this book from time to time when needed, but last year I started to teach MA Algebraic Graph Theory which gave me an opportunity to give a closer look.

Overall, it is a I first read this book /5. Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs.4/4(6).

Algebraic graph theory book Graph Theory "A welcome addition to the literature beautifully written and wide-ranging in its coverage."—MATHEMATICAL REVIEWS "An accessible introduction to the research literature and to important open questions in modern algebraic graph theory.

--The second part is about Matrix theory, interlacing, strongly regular graph, two graph, generalized line graph, etc it is the main part of the book. --The third part is about cut, flows, Knots, etc/5(13). Algebraic Graph Theory. In this substantial revision of a much-quoted monograph first published inDr.

Biggs aims to express properties of graphs in algebraic terms, then to deduce theorems Reviews: 1. Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic /5(5).

Algebraic methods in graph theory (Colloquia Mathematica Societatis János Bolyai) Hardcover – January 1, by Laszlo Lovasz (Editor), V.T. Sos (Editor) See all formats and editions Hide other Format: Hardcover. Algebraic Graph Theory. Authors (view affiliations) Chris Godsil; Gordon Royle; Textbook.

k Citations; Search within book. Front Matter. Pages i-xix. PDF. Graphs. Chris Godsil, Gordon Royle. Pages algebra Eigenvalue graph graph theory graphs homomorphism Laplace operator Matrix Matrix Theory. Book Description The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry).

Other books Format: Hardcover. Algebraic graph theory is a combination of two strands. The first is the study of algebraic objects associated with graphs. The second is the use of tools from algebra to derive properties of graphs/5(17). Fractional Graph Theory Graph theory is one of the branches of modern mathematics having experienced a most impressive development in recent years.

This book will draw the attention of the. Algebraic graph theory is a fascinating subject concerned with the interplay between algebra and graph theory. Algebraic tools can be used to give surprising and elegant proofs of graph theoretic facts, and there are many interesting algebraic 4/5(5).

Algebraic Graph Theory Book January with 17, Reads How we measure 'reads' A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of.

12, 13 and 15 of Algebraic Graph Theory by Chris Godsil and Gordon Royle. The chapters in brackets were revision or introductory material.

Briefly, the content of each (important) chapter was: Chapter 3:. Algebraic graph theory is a fascinating subject concerned with the interplay between algebra and graph theory. Algebraic tools can be used to give surprising and elegant proofs of graph theoretic facts, and.

Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic Cited by: There are many terri c books on Spectral Graph Theory.

The four that in uenced me the most are \Algebraic Graph Theory" by Norman Biggs, v. PREFACE vi \Spectral Graph Theory" by Fan Chung, \Algebraic Combinatorics" by Chris Godsil, and \Algebraic Graph Theory. This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics.

It is designed to offer self-contained treatment of the. Chapter 4. Some Algebraic Graph Theory41 1. Isomorphism and Automorphism41 2. Fields and Matrices47 3. Special Matrices and Vectors49 4. Matrix Representations of Graphs49 5. Determinants, Eigenvalue and Eigenvectors52 6.

Properties of the Eigenvalues of the Adjacency Matrix55 Chapter 5. Applications of Algebraic Graph Theory.Topics in Algebraic Graph Theory The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and Other books cover portions of this material, but this book .Four books on my shelf.

Algebraic Graph Theory, Norman Biggs; Algebraic Graph Theory, Godsil & Royle; Graphs and Matrices, R. B. Bapat; Graph Spectra, Brouwer and Haemers; The last two restrict themselves to matrix stuff.

I learnt much from Biggs's book.