Interior polynomial for signed bipartite graphs and the HOMFLY polynomial

DOI10.1142/S0218216520500777zbMath1464.57015arXiv1705.05063OpenAlexW3089932945MaRDI QIDQ3388033

Keiju Kato

Publication date: 8 January 2021

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

Full work available at URL: https://arxiv.org/abs/1705.05063

zbMATH Keywords

Tutte polynomialHOMFLYPT polynomialknots and linksSeifert graph

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) Knot polynomials (57K14) Knot theory (57K10)

Related Items (3)

Universal Tutte polynomial ⋮ Root polytopes and Jaeger‐type dissections for directed graphs ⋮ Hypergraph polynomials and the Bernardi process

Cites Work

• Sutured Floer homology and hypergraphs
• Families of knots for which Morton's inequality is strict
• Integer points in polyhedra
• Normal polytopes arising from finite graphs
• Root polytopes, parking functions, and the HOMFLY polynomial
• A version of Tutte's polynomial for hypergraphs
• A Dichromatic Polynomial for Weighted Graphs and Link Polynomials
• The skein polynomial of a planar star product of two links
• Permutohedra, Associahedra, and Beyond
• A new polynomial invariant of knots and links
• Seifert circles and knot polynomials
• Tutte Polynomials and Link Polynomials
• Polynomials for Links
• Homogeneous Links
• Computing the Continuous Discretely
• Root polytopes, Tutte polynomials, and a duality theorem for bipartite graphs

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