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An Index of a Graph with Applications to Knot Theory
Kunio Murasugi and Jozef H. Przytycki

Memoirs of the American Mathematical Society
1993; 101 pp; softcover
Volume: 106
ISBN-10: 0-8218-2570-4
ISBN-13: 978-0-8218-2570-9
List Price: US$36
Individual Members: US$21.60
Institutional Members: US$28.80
Order Code: MEMO/106/508
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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.


Specialists and graduate students interested in combinatorial knot theory and/or graph theory.

Table of Contents

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