On the Seifert graphs of a link diagram and its parallels

DOI10.1017/S0305004112000102zbMath1244.05074arXiv1106.4197MaRDI QIDQ2898408

Iain Moffatt, Stephen Huggett, Natalia Virdee

Publication date: 11 July 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4197

zbMATH Keywords

ribbon graphsEulerian subgraphsTait graphcellularly embedded graphs

Mathematics Subject Classification ID

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

Related Items (8)

Ineffective sets and the region crossing change operation ⋮ Partial duals of plane graphs, separability and the graphs of knots ⋮ Kauffman's clock lattice as a graph of perfect matchings: a formula for its height ⋮ Bipartite partial duals and circuits in medial graphs ⋮ A survey on the Turaev genus of knots ⋮ GENERA OF THE LINKS DERIVED FROM 2-CONNECTED PLANE GRAPHS ⋮ Excluded Minors and the Ribbon Graphs of Knots ⋮ A discrete Morse perspective on knot projections and a generalised clock theorem

Cites Work

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• Dehn filling, volume, and the Jones polynomial
• A characterization of partially dual graphs
• ALTERNATING SUM FORMULAE FOR THE DETERMINANT AND OTHER LINK INVARIANTS
• THISTLETHWAITE'S THEOREM FOR VIRTUAL LINKS
• QUASI-ALTERNATING MONTESINOS LINKS
• Turaev genus, knot signature, and the knot homology concordance invariants

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