# Bracket polynomial

## Papers overview

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2009

2009

- 2009

This paper defines a new invariant of virtual knots and flat vir tual knots. We study this invariant in two forms: the extended… (More)

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2009

2009

- 2009

In earlier work the Kauffman bracket polynomial was extended to an invariant of marked graphs, i.e., looped graphs whose vertices… (More)

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2008

2008

- 2008

A knot diagram has an associated looped interlacement graph, obtained from the intersection graph of the Gauss diagram by… (More)

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2008

2008

- 2008

We describe, for a few small examples, the Kauffman bracket skein algebra of a surface crossed with an interval. If the surface… (More)

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2006

2006

- 2006

We show that the Kauffman bracket [L] of a checkerboard colorable virtual link L is an evaluation of the Bollobás–Riordan… (More)

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Highly Cited

2003

Highly Cited

2003

- 2003

IN [41], Witten has made the remarkable discovery of an intricate relationship between the Jones polynomial [15, 163 and gauge… (More)

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2003

2003

- J. Comput. Syst. Sci.
- 2003

We study the parametrized complexity of the knot (and link) polynomials known as Jones polynomials, Kauuman polynomials and Hommy… (More)

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Highly Cited

2000

Highly Cited

2000

- 2000

IN THIS PAPERI construct a state model for the (original) Jones polynomial [5]. (In [6] a state model was constructed for the… (More)

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1998

1998

- 1998

This paper discusses Penrose spin networks in relation to the bracket polynomial.

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1989

1989

- Discrete Applied Mathematics
- 1989

This paper introduces a generalization of the Tutte polynomial [14] that is defined for signed graphs. A signed graph is a graph… (More)

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