ORIENTED STATE MODEL OF THE JONES POLYNOMIAL AND ITS CONNECTION TO THE DICHROMATIC POLYNOMIAL

DOI10.1142/S0218216510007759zbMath1188.57009OpenAlexW2016572860MaRDI QIDQ5189120

Xian'an Jin, Fu Ji Zhang

Publication date: 8 March 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/s0218216510007759

zbMATH Keywords

weighted graphJones polynomialdichromatic polynomialstate sum model4-regular plane graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Directed graphs (digraphs), tournaments (05C20)

Cites Work

• A combinatorial model for the homfly polynomial
• A Tutte polynomial for signed graphs
• An oriented state model for the Jones polynomial and its applications alternating links
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Combinatorics and topology - François Jaeger's work in knot theory
• A polynomial invariant for knots via von Neumann algebras
• A new polynomial invariant of knots and links
• New Invariants in the Theory of Knots
• A Contribution to the Theory of Chromatic Polynomials

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