This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as k
Knots are familiar objects. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. This work offers an introduction to thi
A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology m
The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers
This book presents a remarkable application of graph theory to knot theory. In knot theory, there are a number of easily defined geometric invariants that are e