Transition polynomial as a weight system for binary delta-matroids

zbMath1497.05128arXiv1907.03831MaRDI QIDQ5086236

Alexander Dunaykin, Vyacheslav Zhukov

Publication date: 1 July 2022

Full work available at URL: https://arxiv.org/abs/1907.03831

zbMATH Keywords

knotlinkchord diagramdelta-matroidtransition polynomialfinite type invariant of knots

Mathematics Subject Classification ID

Graph polynomials (05C31) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Handle slides for delta-matroids
• Interlace polynomials for multimatroids and delta-matroids
• The transition matroid of a 4-regular graph: an introduction
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• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Matroids, delta-matroids and embedded graphs
• Maps and \(\Delta\)-matroids
• VASSILIEV KNOT INVARIANTS COMING FROM LIE ALGEBRAS AND 4-INVARIANTS
• THE INTERSECTION GRAPH CONJECTURE FOR LOOP DIAGRAMS
• Delta-matroids and Vassiliev invariants

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