A 1-variable unoriented Knot Polynomial . It satisfies

(1) |

(2) |

(3) |

(4) |

(5) |

(6) |

The Polynomial was subsequently extended to the 2-variable Kauffman Polynomial
*F*, which satisfies

(7) |

**References**

Brandt, R. D.; Lickorish, W. B. R.; and Millett, K. C. ``A Polynomial Invariant for Unoriented Knots and Links.''
*Invent. Math.* **84**, 563-573, 1986.

Ho, C. F. ``A New Polynomial for Knots and Links--Preliminary Report.'' *Abstracts Amer. Math. Soc.* **6**, 300, 1985.

Kanenobu, T. and Sumi, T. ``Polynomial Invariants of 2-Bridge Knots through 22-Crossings.'' *Math. Comput.*
**60**, 771-778 and S17-S28, 1993.

Stoimenow, A. ``Brandt-Lickorish-Millett-Ho Polynomials.'' http://www.informatik.hu-berlin.de/~stoimeno/ptab/blmh10.html.

Weisstein, E. W. ``Knots.'' Mathematica notebook Knots.m.

© 1996-9

1999-05-26