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Using the HOMFLYPT Polynomial to Compute Knot Types - Chapter 9
Book chapter

Using the HOMFLYPT Polynomial to Compute Knot Types - Chapter 9

Eric J Rawdon and Robert G Scharein
Springer Nature Switzerland
06/20/2024

Abstract

The HOMFLYPT polynomial is a link invariant which is effective in determining chiral knot and link types with small crossing numbers. In this chapter, we concentrate on knots. We provide a guide for computing the knot types of configurations from 3D coordinates via the HOMFLYPT polynomial using publicly-available Linux freeware. We include data on the efficacy of HOMFLYPT for knot types through crossing number 16.

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