An Index of a Graph with Applications to Knot Theory (Memoirs of the American Mathematical Society No. 508)
By: Kunio Murasugi (author), Jozef H. Przytycki (author)Paperback
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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.
Index of a graph Link theory Braid index of alternating links Appendix References.
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- ID: 9780821825709
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