An Index of a Graph with Applications to Knot Theory

Buch | Softcover

101 Seiten

1993
American Mathematical Society (Verlag)
978-0-8218-2570-9 (ISBN)

Infos

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.

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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.

Inhalt

Index of a graph Link theory Braid index of alternating links Appendix References.

Produkt-Details

• Erscheint lt. Verlag: 1.4.1994
• Reihe/Serie: Memoirs of the American Mathematical Society
• Verlagsort: Providence
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• ISBN-10: 0-8218-2570-4 / 0821825704
• ISBN-13: 978-0-8218-2570-9 / 9780821825709
• Zustand: Neuware