Bracket polynomial

Known as: Kauffman bracket, Kauffman bracket polynomial 
In the mathematical field of knot theory, the bracket polynomial (also known as the Kauffman bracket) is a polynomial invariant of framed links… (More)
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4 relations
Jones polynomialKauffman polynomialKnot polynomialPolynomial

Papers overview

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2009
2009
An Extended Bracket Polynomial for Virtual Knots and Links
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
A bracket polynomial for graphs. III. Vertex weights
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
A Bracket Polynomial for Graphs
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
MULTIPLICATIVE STRUCTURE OF KAUFFMAN BRACKET SKEIN MODULE QUANTIZATIONS
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
THE KAUFFMAN BRACKET OF VIRTUAL LINKS AND THE BOLLOBÁS–RIORDAN POLYNOMIAL
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
TOPOLOGICAL QUANTUM FIELD THEORIES DERIVED FROM THE KAUFFMAN BRACKET
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
The parametrized complexity of knot polynomials
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
STATE MODELS AND THE JONES POLYNOMIAL
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
SPIN NETWORKS AND THE BRACKET POLYNOMIAL
This paper discusses Penrose spin networks in relation to the bracket polynomial. 
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1989
1989
A Tutte polynomial for signed graphs
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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