Gateways Unveiling The Mysteries Of Topological Graph Theory
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Gateways: Unveiling the Mysteries of Topological Graph Theory
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-03-09
Embark on a captivating journey through the world of topological graph theory, a captivating field that unveils the profound interplay between topology and graph theory. This comprehensive and engaging book offers a comprehensive exposition of the fundamental concepts, diverse applications, and recent advancements in topological graph theory, catering to a wide audience of mathematicians, computer scientists, and anyone fascinated by the intricate world of graphs and surfaces. Unravel the mysteries of graph imbeddings, delving into the intricate connections between graphs and surfaces. Explore the concept of genus, a captivating measure of the complexity of graph imbeddings, and uncover the profound implications of Ringel-Youngs theorem, a groundbreaking result that revolutionized the field of graph theory. Discover the wide-ranging applications of topological graph theory, spanning diverse fields such as computer science, network analysis, physics, and biology. Learn how topological graph theory empowers us to solve complex problems in network design, data analysis, and scientific modeling. Navigate through a wealth of captivating examples, illuminating figures, and thought-provoking exercises, all carefully crafted to enhance your understanding and deepen your appreciation for topological graph theory. Engage with the cutting-edge research and unsolved problems at the forefront of topological graph theory, gaining insights into the future directions and open challenges in this captivating field. Written with clarity and rigor, this book serves as an indispensable resource for mathematicians, computer scientists, and anyone seeking to delve into the captivating realm of topological graph theory. Whether you are a seasoned researcher, a budding student, or simply a curious explorer of the intricate world of graphs and networks, this book promises an enlightening and intellectually stimulating experience. If you like this book, write a review!
Topics in Topological Graph Theory
Author: Lowell W. Beineke
language: en
Publisher: Cambridge University Press
Release Date: 2009-07-09
The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.
Topological Graph Theory
Author: Jonathan L. Gross
language: en
Publisher: Courier Corporation
Release Date: 2001-01-01
Iintroductory treatment emphasizes graph imbedding but also covers connections between topological graph theory and other areas of mathematics. Authors explore the role of voltage graphs in the derivation of genus formulas, explain the Ringel-Youngs theorem, and examine the genus of a group, including imbeddings of Cayley graphs. Many figures. 1987 edition.