ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS

DOI10.1142/S0218216510008297zbMath1206.57015OpenAlexW1995459102MaRDI QIDQ4930563

Xian'an Jin, Fu Ji Zhang

Publication date: 29 September 2010

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216510008297

zbMATH Keywords

Jones polynomialtangleMontesinos linkKauffman bracket polynomial

Mathematics Subject Classification ID

Related Items (5)

The Yamada polynomial of spatial graphs obtained by edge replacements ⋮ The architecture and the Jones polynomial of polyhedral links ⋮ Line graph links ⋮ Tutte polynomials of Fan-like graphs with applications in benzenoid systems ⋮ Density of roots of the Yamada polynomial of spatial graphs

Uses Software

• Maple

Cites Work

• Unnamed Item
• Computer algebra and colored Jones polynomials
• A Tutte polynomial for signed graphs
• Fast algorithms for computing Jones polynomials of certain links
• State models and the Jones polynomial
• Hecke algebra representations of braid groups and link polynomials
• The Jones polynomial of pretzel knots and links
• Chromatic polynomials of homeomorphism classes of graphs
• Application of computer algebra to Jones polynomials
• The Kauffman brackets for equivalence classes of links
• The replacements of signed graphs and Kauffman brackets of link families
• A polynomial invariant for knots via von Neumann algebras
• New Invariants in the Theory of Knots
• EXPLICIT DESCRIPTION OF THE HOMFLY POLYNOMIALS FOR 2-BRIDGE KNOTS AND LINKS
• On the computational complexity of the Jones and Tutte polynomials
• A Contribution to the Theory of Chromatic Polynomials

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