A Dichromatic Polynomial for Weighted Graphs and Link Polynomials

DOI10.2307/2047403zbMath0713.57003OpenAlexW4238435561MaRDI QIDQ3198546

Lorenzo Traldi

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047403

zbMATH Keywords

Jones polynomial of a linkdichromatic polynomial for weighted graphshomfly polynomialsKauffman bracket of a signed graph

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Coloring of graphs and hypergraphs (05C15)

Related Items (32)

Knots, matroids and the Ising model ⋮ Universal Tutte characters via combinatorial coalgebras ⋮ The replacements of signed graphs and Kauffman brackets of link families ⋮ Knots and Graphs: Two Centuries of Interaction ⋮ Fourientation activities and the Tutte polynomial ⋮ The Jones polynomial from a Goeritz matrix ⋮ On the Potts model partition function in an external field ⋮ Non-orientable quasi-trees for the Bollobás-Riordan polynomial ⋮ Unnamed Item ⋮ The architecture and the Jones polynomial of polyhedral links ⋮ Generalized activities and the Tutte polynomial ⋮ On the algebraic complexity of some families of coloured Tutte polynomials ⋮ Expansions for the Bollobás-Riordan polynomial of separable ribbon graphs ⋮ The Homfly and dichromatic polynomials ⋮ Binary matroids and local complementation ⋮ On the location of zeros of the Homfly polynomial ⋮ The transition matroid of a 4-regular graph: an introduction ⋮ A MacWilliams type identity for matroids ⋮ Knot invariants and the Bollobás-Riordan polynomial of embedded graphs ⋮ Generalized activities and \(K\)-terminal reliability ⋮ Weighted Interlace Polynomials ⋮ Modifications of Tutte–Grothendieck invariants and Tutte polynomials ⋮ A little statistical mechanics for the graph theorist ⋮ Parallel connections and coloured Tutte polynomials ⋮ The t₃, moves conjecture for oriented links with matched diagrams ⋮ The Tutte-Potts connection in the presence of an external magnetic field ⋮ Strong Tutte Functions of Matroids and Graphs ⋮ A formula for the HOMFLY polynomial of rational links ⋮ Interior polynomial for signed bipartite graphs and the HOMFLY polynomial ⋮ The multivariate signed Bollobás-Riordan polynomial ⋮ Partial duality and Bollobás and Riordan's ribbon graph polynomial ⋮ Contraction-deletion invariants for graphs

Cites Work

• Unnamed Item
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• On Invariants of Graphs with Applications to Knot Theory
• A new polynomial invariant of knots and links
• New Invariants in the Theory of Knots
• Tutte Polynomials and Link Polynomials
• Theory of Matroids

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