The Kauffman brackets for equivalence classes of links

DOI10.1016/j.aam.2004.02.002zbMath1060.05041OpenAlexW1981150265MaRDI QIDQ1775726

Xian'an Jin, Fu Ji Zhang

Publication date: 4 May 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2004.02.002

zbMATH Keywords

MAPLETutte polynomialKauffman bracketChain polynomialLink diagramSigned plane graph

Mathematics Subject Classification ID

Related Items (12)

The replacements of signed graphs and Kauffman brackets of link families ⋮ GRAPHICAL CALCULI FOR THE DUBROVNIK POLYNOMIAL WITH APPLICATIONS ⋮ Computer algebra and colored Jones polynomials ⋮ Zeros of the Jones polynomial for multiple crossing-twisted links ⋮ The Homfly polynomial of double crossover links ⋮ The architecture and the Jones polynomial of polyhedral links ⋮ Line graph links ⋮ Links and cubic 3-polytopes ⋮ ON COMPUTING KAUFFMAN BRACKET POLYNOMIAL OF MONTESINOS LINKS ⋮ Potts model partition functions on two families of fractal lattices ⋮ An oriented state model for the Jones polynomial and its applications alternating links ⋮ Applied quantum physics for novel quantum computation approaches: an update

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Tutte polynomial for signed graphs
• State models and the Jones polynomial
• Chromatic polynomials of homeomorphism classes of graphs
• Application of computer algebra to Jones polynomials
• Zeros of the Jones polynomials for families of pretzel links
• Automatic calculation of Alexander polynomials of \((3,k)\)-torus knots
• New Invariants in the Theory of Knots
• The Tutte polynomial for homeomorphism classes of graphs

This page was built for publication: The Kauffman brackets for equivalence classes of links