On a conjecture of Gross, Mansour and Tucker

DOI10.1016/j.ejc.2021.103368zbMath1469.05083arXiv2101.09319OpenAlexW3123311041WikidataQ113875500 ScholiaQ113875500MaRDI QIDQ2048349

Fabien Vignes-Tourneret, Sergei Chmutov

Publication date: 5 August 2021

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09319

zbMATH Keywords

ribbon graphspartial duality

Mathematics Subject Classification ID

Graph polynomials (05C31) Planar graphs; geometric and topological aspects of graph theory (05C10)

Related Items (6)

Partial-dual Euler-genus distributions for bouquets with small Euler genus ⋮ Twist polynomials of delta-matroids ⋮ Partial-dual polynomials and signed intersection graphs ⋮ Partial-twuality polynomials of delta-matroids ⋮ Delta-matroids whose twist polynomials are monomials ⋮ Partial duality of hypermaps

Cites Work

• Bipartite partial duals and circuits in medial graphs
• Separability and the genus of a partial dual
• Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial
• The multivariate signed Bollobás-Riordan polynomial
• Partial duality and Bollobás and Riordan's ribbon graph polynomial
• Partial duality for ribbon graphs. I: distributions
• Counterexamples to a conjecture by Gross, Mansour and Tucker on partial-dual genus polynomials of ribbon graphs
• Matroids, delta-matroids and embedded graphs
• Partial duality and closed 2-cell embeddings
• Twisted duality for embedded graphs
• Introduction to Vassiliev Knot Invariants
• A characterization of partially dual graphs
• ARROW RIBBON GRAPHS
• Graphs on Surfaces

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