Explorations in Algebraic Graph Theory by Chris Godsil, Rob Beezer
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About this book :-
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 objects associated with graphs. Algebraic Graph Theory is Sage is an ideal place to experiment with the relevant mathematics: graph theory, linear algebra and permutation groups, along with combinatorics generally. This book will provide a useful introduction for the student or researcher, while simultaneously aiding the continual improvement of Sage itself.
It covers key concepts like adjacency and incidence matrices, spectral graph methods, and connections between algebraic structures and graphs.
It examines topics like graph eigenvalues, symmetries, invariants, and homomorphisms through a self-contained, example-rich approach. It’s aimed at upper-level undergraduates, graduate students, and researchers, requiring only basic linear algebra and elementary group theory.
This book is primarily aimed at graduate students and researchers in graph theory, combinatorics, or discrete mathematics in general. However, all the necessary graph theory is developed from scratch, so the only pre-requisite for reading it is a first course in linear algebra and a small amount of elementary group theory. It should be accessible to motivated upper-level undergraduates. Chris Godsil is a full professor in the Department of Combinatorics and Optimization at the University of Waterloo. It tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth.
Book Detail :-
This book has following details information.
Title:
Explorations in Algebraic Graph Theory by Chris Godsil, Rob Beezer by NA
Publisher:
University of Puget Sound
Series:
freeCompBooks
Year:
Pages:
400
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
Country:
Pakistan
License:
GNU Free Documentation License
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Getting Started
2. First Projects
3. Cayley Graphs
4. Distance-Regular Graphs
5. One-Factors of K6
6. The Hoffman-Singleton Graph
7. Matrices
8. Polynomials and Power Series
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