Explorations in Algebraic Graph Theory by Chris Godsil, Rob Beezer
Explorations in Algebraic Graph Theory - Table of Contents
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
What You Will Learn in Explorations in Algebraic Graph Theory
Explorations in Algebraic Graph Theory by Chris Godsil and Rob Beezer is a modern and interactive introduction to algebraic graph theory. The book explains how algebraic tools like matrices and groups are used to study graphs and their structures. It is designed for students and researchers who want a clear and practical understanding of this subject.
The book covers key concepts such as adjacency and incidence matrices, eigenvalues of graphs, symmetries, and graph invariants. It also highlights the connection between linear algebra and graph theory, showing how algebraic methods can solve complex graph problems. A unique feature is its use of computational tools like Sage, allowing readers to experiment and explore concepts through examples.
Overall, this book is valuable for learners interested in combinatorics, graph theory, and advanced mathematics. It builds concepts from basic ideas to more advanced topics, making it suitable for upper-level students. With its example-based approach, it helps readers understand both theory and practical applications in algebraic structures and graphs.
Book Details & Specifications
Title:
Explorations in Algebraic Graph Theory by Chris Godsil, Rob Beezer
Publisher:
University of Puget Sound
Year:
2010
Pages:
400
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
GNU
Amazon:
Amazon
About the Author: Chris Godsil
The author Chris Godsil
is a leading mathematician known for his work in algebraic graph theory and combinatorics. He earned his Ph.D. from the University of Melbourne and later became a professor at the University of Waterloo. His expertise includes graph theory, eigenvalues of graphs, and algebraic methods for studying complex structures. Rob Beezer is a professor at the University of Puget Sound with a Ph.D. from the University of Illinois. His work focuses on linear algebra, mathematics education, and open-source learning tools. Together, both authors combine strong research and teaching skills to advance algebraic structures in modern mathematics.
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Graph Theory