An index of a graph with applications to knot theory

書誌事項

An index of a graph with applications to knot theory

Kunio Murasugi, Jozef H. Przytycki

(Memoirs of the American Mathematical Society, no. 508)

American Mathematical Society, 1993

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注記

"November 1993, volume 106, number 508 (third of 6 numbers)"

Includes bibliographical references (p. 100-101)

内容説明・目次

内容説明

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.

目次

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

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