An Index of a Graph with Applications to Knot Theory
Seiten
1993
American Mathematical Society (Verlag)
978-0-8218-2570-9 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-2570-9 (ISBN)
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Presents the application of graph theory to knot theory. This book evaluates the braid index for many knots and links using the generalized Jones polynomial and the index of a graph, a fresh invariant introduced here. It is of interest to computer scientists.
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 extremely difficult to compute; the braid index of a knot or link is one example. The authors evaluate the braid index for many knots and links using the generalized Jones polynomial and the index of a graph, a new invariant introduced here. This invariant, which is determined algorithmically, is likely to be of particular interest to computer scientists.
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 extremely difficult to compute; the braid index of a knot or link is one example. The authors evaluate the braid index for many knots and links using the generalized Jones polynomial and the index of a graph, a new invariant introduced here. This invariant, which is determined algorithmically, is likely to be of particular interest to computer scientists.
Index of a graph Link theory Braid index of alternating links Appendix References.
| Erscheint lt. Verlag | 1.4.1994 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 0-8218-2570-4 / 0821825704 |
| ISBN-13 | 978-0-8218-2570-9 / 9780821825709 |
| Zustand | Neuware |
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