TUTTE POLYNOMIALS OF TENSOR PRODUCTS OF SIGNED GRAPHS AND THEIR APPLICATIONS IN KNOT THEORY

DOI10.1142/S0218216509007075zbMath1185.05083arXivmath/0702328OpenAlexW1965611629MaRDI QIDQ5324411

Yuanan Diao, Kenneth Hinson

Publication date: 3 August 2009

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

Full work available at URL: https://arxiv.org/abs/math/0702328

zbMATH Keywords

knotsJones polynomialsigned graphstensor product of graphsTutte Polynomialcoloured Tutte polynomial

Mathematics Subject Classification ID

Graph polynomials (05C31) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Signed and weighted graphs (05C22)

Related Items (11)

Jones polynomial of knots formed by repeated tangle replacement operations ⋮ GRAPHICAL CALCULI FOR THE DUBROVNIK POLYNOMIAL WITH APPLICATIONS ⋮ Planarity, symmetry and counting tilings ⋮ The architecture and the Jones polynomial of polyhedral links ⋮ A DETERMINANT FORMULA FOR THE JONES POLYNOMIAL OF PRETZEL KNOTS ⋮ The Homfly and dichromatic polynomials ⋮ Relative Tutte Polynomials of Tensor Products of Coloured Graphs ⋮ A Tutte-style proof of Brylawski's tensor product formula ⋮ Relative Tutte Polynomials for Coloured Graphs and Virtual Knot Theory ⋮ Matching preclusion for direct product of regular graphs ⋮ Invariants of composite networks arising as a tensor product

Cites Work

• A Tutte polynomial for signed graphs
• A spanning tree expansion of the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• Determinantal rings
• New Invariants in the Theory of Knots
• A Tutte Polynomial for Coloured Graphs
• On the computational complexity of the Jones and Tutte polynomials
• ON TANGLES AND MATROIDS
• A Contribution to the Theory of Chromatic Polynomials

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