The architecture of polyhedral links and their HOMFLY polynomials

DOI10.1007/s10910-010-9685-3zbMath1196.92056OpenAlexW1988530882MaRDI QIDQ1959324

Wen-Yuan Qiu, Shu-Ya Liu, Heping Zhang, Xiao-Sheng Cheng

Publication date: 6 October 2010

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-010-9685-3

zbMATH Keywords

HOMFLY polynomialpolyhedral linksDNA PolyhedraW-polynomial

Mathematics Subject Classification ID

Applications of graph theory (05C90) Three-dimensional polytopes (52B10) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (7)

The Homfly polynomial of double crossover links ⋮ The braid index of polyhedral links ⋮ The architecture and the Jones polynomial of polyhedral links ⋮ The Homfly and dichromatic polynomials ⋮ Topological chirality of a type of DNA and protein polyhedral links ⋮ The HOMFLY polynomials of odd polyhedral links ⋮ On the HOMFLY polynomials of even trigonal bipyramid links

Cites Work

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• The architecture of platonic polyhedral links
• A Tutte polynomial for signed graphs
• The replacements of signed graphs and Kauffman brackets of link families
• A new polynomial invariant of knots and links
• A Tutte Polynomial for Coloured Graphs
• A Contribution to the Theory of Chromatic Polynomials

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