Knots, matroids and the Ising model

DOI10.1017/S0305004100075812zbMath0797.57002MaRDI QIDQ5288366

Werner Schwärzler, Dominic J. A. Welsh

Publication date: 2 September 1993

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

partition functionKauffman polynomialsigned graphsadequacyTutte polynomial of a matroidpolynomial on signed matroidssemi-adequacy of link diagrams

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (3)

The link component number of suspended trees ⋮ Unnamed Item ⋮ The Homfly and dichromatic polynomials

Cites Work

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• A Tutte polynomial for signed graphs
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• On the Kauffman polynomial of an adequate link
• Some links with non-trivial polynomials and their crossing-numbers
• The Tutte polynomial
• A Dichromatic Polynomial for Weighted Graphs and Link Polynomials
• On Invariants of Graphs with Applications to Knot Theory
• A polynomial invariant for knots via von Neumann algebras
• On the Principal Edge Tripartition of a Graph
• An Invariant of Regular Isotopy
• Polynomials for Links
• A Contribution to the Theory of Chromatic Polynomials

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