Ribbon graph minors and low-genus partial duals

DOI10.1007/s00026-016-0301-5zbMath1339.05377arXiv1502.00269OpenAlexW1514582247MaRDI QIDQ295294

Iain Moffatt

Publication date: 13 June 2016

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

Full work available at URL: https://arxiv.org/abs/1502.00269

zbMATH Keywords

knotsminorreal projective planeribbon graphembedded graphexcluded minor

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graph minors (05C83) General theory of linear incidence geometry and projective geometries (51A05) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (5)

New dualities from old: generating geometric, Petrie, and Wilson dualities and trialities of ribbon graphs ⋮ Excluded checkerboard colourable ribbon graph minors ⋮ Partial-dual polynomials and signed intersection graphs ⋮ The structure of delta-matroids with width one twists ⋮ Eulerian and even-face ribbon graph minors

Cites Work

• Partial duals of plane graphs, separability and the graphs of knots
• Separability and the genus of a partial dual
• A polynomial of graphs on surfaces
• Graph minors. XX: Wagner's conjecture
• On the ribbon graphs of links in real projective space
• Generalized duality for graphs on surfaces and the signed Bollobás-Riordan polynomial
• The Jones polynomial and graphs on surfaces
• Excluded Minors and the Ribbon Graphs of Knots
• Graphs on Surfaces

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