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Algebraic Graph Theory (2E) by Norman L. Biggs
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**About this book :- **
**Algebraic Graph Theory (2E) **
** Norman L. Biggs**.

This book is concerned with the use of algebraic techniques in the study of graphs. We aim to translate properties of graphs into algebraic properties and then, using the results and methods of algebra, to deduce theorems about graphs.

The exposition which we shall give is not part of the modern functorial approach to topology, despite the claims of those who hold that, since graphs are one-dimensional spaces, graph theory is merely one-dimensional topology. By that definition, algebraic graph theory would consist only of the homology of 1-complexes.

But the problems dealt with in graph theory are more delicate than those which form the substance of algebraic topology, and even if these problems can be generalized to dimensions greater than one, there is usually no hope of a general solution at the present time. Consequently, the algebra used in algebraic graph theory is largely unrelated to the subject which has come to be known as homological algebra.

**Book Detail :- **
** Title: ** Algebraic Graph Theory
** Edition: ** 2nd
** Author(s): ** Norman L. Biggs
** Publisher: ** Cambridge University Press
** Series: ** Cambridge Tracts in Mathematics
** Year: ** 1974
** Pages: ** 178
** Type: ** PDF
** Language: ** English
** ISBN: ** 052120335X,9780521203357
** Country: ** UK
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**About Author :- **

The author ** Norman L. Biggs ** was a lecturer at University of Southampton, lecturer then reader at Royal Holloway, University of London, and Professor of Mathematics at the London School of Economics. He has been on the editorial board of a number of journals, including the Journal of Algebraic Combinatorics. He has been a member of the Council of the London Mathematical Society.

He has written 12 books and over 100 papers on mathematical topics, many of them in algebraic combinatorics and its applications. He became Emeritus Professor in 2006 and continue to teach History of Mathematics in Finance and Economics for undergraduates. He is also Vice-President of the British Society for the History of Mathematics.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Algebraic Graph Theory (2E) by Norman L. Biggs **

** • Download PDF Graph Theory by Norman L. Biggs, E. Keith Lloyd, Robin J. Wilson **

** • Download PDF Interaction Models: Royal Holloway College by Norman L. Biggs **

** • Download PDF Permutation Groups & Combinatorial Structures by Norman L. Biggs **

** • Download PDF Quite Right: The Story of Mathematics, Measurement & Money by Norman L. Biggs **

** • Download PDF Codes: an Introduction to Information Communication & Cryptography by Norman L. Biggs **

** • Download PDF Mathematics for Economics & Finance: Methods & Modelling by Martin Anthony, Norman L Biggs **

** • Download PDF Discrete Mathematics by Norman L. Biggs **

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**Book Contents :- **
**Graph Theory **
** Norman L. Biggs, E. Keith Lloyd, Robin J. Wilson**
cover the following topics.

1. Introduction

Part-1 LINEAR ALGEBRA IN GRAPH THEORY

2. The spectrum of a graph

3. Regular graphs and line graphs

4. The homology of graphs

5. Spanning trees and associated structures

6. Complexity

7. Determinant expansions

Part-2 COLOURING PROBLEMS

8. Vertex-colourings and the spectrum

9. The chromatic polynomial

10. Edge-subgraph expansions

11. The logarithmic transformation

12. The vertex-subgraph expansion

13. The Tutte polynomial

14. The chromatic polynomial and spanning trees

Part-3 SYMMETRY AND REGULARITY OF GRAPHS

15. General properties of graph automorphisms

16. Vertex-transitive graphs

17. Symmetric graphs

18. Trivalent symmetric graphs

19. The covering-graph construction

20. Distance-transitive graphs

21. The feasibility of intersection arrays

22. Primitivity and imprimitivity

23. Minimal regular graphs with given girth

Bibliography

Index

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