Topological Graph Theory (Dover Books on Mathematics)

Book Details

• Author: Gross & Tucker

• Publisher: Dover

• Edition: Reprint

• Binding: Paperback

• ISBN: 9780486417417

• Languages: English

• Package Dimensions: 8.4 x 5.5 x 0.8 inches

• Number of Pages: 361

About the Book

"Topological Graph Theory" by Gross & Tucker is a clear and comprehensive introduction to the fascinating world of topological graph theory. This well-regarded book emphasizes graph imbedding and its connections to other areas of mathematics, making it an essential resource for anyone interested in the study of topological aspects of graphs.

The authors expertly combine the study of graph imbeddings into surfaces with a complete proof of the classification of closed surfaces. In addition, the book explores the groundbreaking Ringel-Youngs theorem, which revolutionized the field of graph theory. The authors also delve into the genus of a group and discuss imbeddings of Cayley graphs. The careful treatment of voltage graphs and their role in the derivation of genus formulas further enriches the text.

The book's clarity, coupled with a multitude of figures, helps readers grasp complex concepts and apply them effectively in mathematical problems. Ideal for students and researchers alike, this reprint edition offers a foundational understanding of topological graph theory, equipping readers with both theoretical knowledge and practical problem-solving techniques.