982192

9780821825709

Index of a Graph With Applications to Knot Theory

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  • ISBN-13: 9780821825709
  • ISBN: 0821825704
  • Publisher: American Mathematical Society

AUTHOR

Murasugi, Kunio, Przytycki, Jozef H.

SUMMARY

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.Murasugi, Kunio is the author of 'Index of a Graph With Applications to Knot Theory' with ISBN 9780821825709 and ISBN 0821825704.

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