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 Title Explorations in Algebraic Graph Theory with Sage
 Authors Chris Godsil and Rob Beezer
 Publisher: University of Puget Sound
 License(s): GNU Free Documentation License
 Paperback: N/A
 eBook: HTML and PDF
 Language: English
 ISBN10: N/A
 ISBN13: N/A
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Book Description
Algebraic Graph Theory is a beautiful subject and 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.
This book aims to express properties of graphs in algebraic terms, then to deduce theorems about them. 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.
Many algebraists associated a graph with a ring and study the interplay between the structure of the ring and the graph theoretic properties of the graph associated with it. In this book we studied the interplay between ring theoretic properties of a ring and the graph theoretic properties of its comaximal graph, comaximal ideal graph, unit graph and some other graphs related to its comaximal graph and comaximal ideal graph.
About the Authors N/A
 Graph Theory
 Algebra, Abstract Algebra (Groups, Rings, and Fields), and Linear Algebra, etc.
 Algorithms and Data Structures
 Computational and Algorithmic Mathematics
 Mathematical and Computational Software, MATLAB, etc.
 Geometry and Topology
 Discrete and Finite Mathematics
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