Reinhard Diestel Knihy

Focusing on the mathematical theory of tangles, this book explores its role in the Robertson-Seymour theory of graph minors, illustrating how tangles can derive structure from imprecise data. It demonstrates their application in identifying and relating various data types, including behaviors, political views, texts, and proteins, making complex concepts accessible to readers with only basic undergraduate mathematics.

The third edition of this standard textbook of modern graph theory has been carefully revised, updated, and substantially extended. Covering all its major recent developments, Graph Theory can be used both as a reliable textbook for an introductory course and as a graduate text: on each topic it covers all the basic material in full detail, and adds one or two deeper results (again with detailed proofs) to illustrate the more advanced methods of that field.