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Memoirs of the American Mathematical Society
1993; 101 pp; softcover
List Price: US$34
Individual Members: US$20.40
Institutional Members: US$27.20
Order Code: MEMO/106/508
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.
Specialists and graduate students interested in combinatorial knot theory and/or graph theory.
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