Relative Tutte Polynomials of Tensor Products of Coloured Graphs

DOI10.1017/S0963548313000370zbMath1282.05069arXiv1202.4215MaRDI QIDQ5397733

Yuanan Diao

Publication date: 24 February 2014

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4215

zbMATH Keywords

virtual knots

Mathematics Subject Classification ID

Graph polynomials (05C31) Extremal problems in graph theory (05C35) Coloring of graphs and hypergraphs (05C15) Graph operations (line graphs, products, etc.) (05C76)

Cites Work

• A polynomial of graphs on surfaces
• Jones polynomial of knots formed by repeated tangle replacement operations
• A Tutte polynomial for signed graphs
• Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial
• Invariants of composite networks arising as a tensor product
• A spanning tree expansion of the Jones polynomial
• The Tutte polynomial of a morphism of matroids. I: Set-pointed matroids and matroid perspectives
• Virtual knot theory
• A Polynomial Invariant of Graphs On Orientable Surfaces
• Relative Tutte Polynomials for Coloured Graphs and Virtual Knot Theory
• THISTLETHWAITE'S THEOREM FOR VIRTUAL LINKS
• A Tutte Polynomial for Coloured Graphs
• On the computational complexity of the Jones and Tutte polynomials
• TUTTE POLYNOMIALS OF TENSOR PRODUCTS OF SIGNED GRAPHS AND THEIR APPLICATIONS IN KNOT THEORY

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