Fundamentals of Graph Theory (Pure and Applied Undergraduate Texts) - Hardcover

Allan Bickle (author)

Hardcover

ISBN 10: 1470453428 ISBN 13: 9781470453428

Publisher: American Mathematical Society, 2020

Synopsis

Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.

About this title

About the Author

Allan Bickle, Pennsylvania State University Altoona, PA

Edition details

• Publisher: American Mathematical Society
• Publication date: 2020
• Language: English
• ISBN 10: 1470453428
• ISBN 13: 9781470453428
• Binding: Hardcover
• Number of pages: 336