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A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links

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Description: A research paper describing an algorithm for calculating the HOMFLY polynomial of directed knots and links. The algorithm has a better time bound for large links than algorithns that ignore duplicates. Source code is on the site.
A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links A Dynamic Programming Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links The HOMFLY polynomial invariant for directed knots and links is a powerful tool for distinguishing knots and links. A recursive formula is used to calculate it. Applying this formula produces a binary tree of intermediate links. This paper presents an algorithm that encourages and collects duplicate intermediate links. It has a better time bound (and a better running time) for large links than algorithms which ignore duplicates. The time bound is O((n!)(2
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