Graph Connections: Relationships between Graph Theory and Other Areas of Mathematics (Oxford Lecture Series in Mathematics and Its Applications, 5) by Lowell W. Beineke (PDF)

Description

This new book introduces mathematicians to the applicability of graph theory to other areas, from number theory to linear algebra, neural networks, and finance. This is achieved through a series of expository chapters, each written by an expert in a different field. Each chapter has been carefully edited so that the terminology and notation are as standardized as possible. The book will be useful to both graph theorists and practitioners in other areas.

User’s Reviews

Editorial Reviews: Review Obviously there are other areas of mathematics that have connections with Graph Theory, but the section presented in the current volume is more that sufficient to indicate the great diversity available in applying Graph Theory. There are bound to be several chapters in this book that will appeal to any reader, no matter what his or her particular intests may be. About the Author Lowell Wayne Beineke, Schrey Professor, Indiana University – Purdue University. Robin James Wilson, Dean and Director of Studies, The Open University.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Wilson and Beineke have compiled a wonderful volume. Each chapter outlines a topic or area in mathematics and its relation to graph theory. Number Theory, Codes, Groups, Geometry, Topology, Computing, Artificial Neural Networks, Probability & Statistics, Knots, and more are treated. There is even a section on International Finance (exchange of currencies). Wilson provides a good introduction; a brief survey of the basic concepts and definitions of graph theory. (For more detail, Wilson has a couple of other well-written introductory graph theory texts).The chapters are well-written, although the styles can be different as each has a different author. Proofs are omitted, for the most part, and most chapters do not assume a great deal of background knowledge, but the book does get into some deep mathematics, including current areas of research.I highly recommend this book for inclusion in undergraduate mathematics library collections or for anyone interested in graph theory and possibly doing research in the area.

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