Partial-dual genus polynomial as a weight system

DOI10.46298/CM.11709zbMATH Open1543.0503MaRDI QIDQ6590897

S. Chmutov

Publication date: 21 August 2024

Published in: Communications in Mathematics (Search for Journal in Brave)

zbMATH Keywords

ribbon graphspartial dualityGross-Mansour-Tucker conjecturepartial-dual genus polynomial

Mathematics Subject Classification ID

Hypergraphs (05C65) Planar graphs; geometric and topological aspects of graph theory (05C10) Triangulating manifolds (57Q15) Relations of low-dimensional topology with graph theory (57M15)

Cites Work

• Algebraic structures on modules of diagrams
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• Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial
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• Partial duality for ribbon graphs. I: distributions
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• On a conjecture of Gross, Mansour and Tucker
• Counterexamples to the interpolating conjecture on partial-dual genus polynomials of ribbon graphs
• Polynomial graph invariants and the KP hierarchy
• Counterexamples to a conjecture by Gross, Mansour and Tucker on partial-dual genus polynomials of ribbon graphs
• Mutant knots and intersection graphs
• \(J\)-invariants of plane curves and framed chord diagrams
• Graphs on Surfaces
• Partial-dual Euler-genus distributions for bouquets with small Euler genus
• Enumerating graph embeddings and partial-duals by genus and Euler genus
• Partial-dual polynomials and signed intersection graphs

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Partial-dual polynomial as a framed weight system

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