The diagram approach in knot theory and applications to graph theory

DOI10.3103/S0027132218030087zbMath1400.57003OpenAlexW2813767432WikidataQ129565715 ScholiaQ129565715MaRDI QIDQ1791623

I. M. Nikonov, D. P. Il'yutko

Publication date: 10 October 2018

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132218030087

zbMATH Keywords

graph theoryplanarityvirtual knotsparityknot diagramsframed graphsbicolorGaussian diagramsgraph-links

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Graph-links: nonrealizability, orientation, and Jones polynomial
• Parity in knot theory and graph-links
• Khovanov homology is an unknot-detector
• 2-colored diagrams of knots
• A categorification of the Jones polynomial
• A new proof of Vassiliev's conjecture
• Virtual Knots
• Parity in knot theory

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