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Graph-links

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Publication:1048556
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DOI10.1134/S1064562409050287zbMath1180.57012OpenAlexW4243732620MaRDI QIDQ1048556

D. P. Il'yutko, Vassily O. Manturov

Publication date: 12 January 2010

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

Full work available at URL: https://doi.org/10.1134/s1064562409050287


zbMATH Keywords

linksminimalityJones polynomialknot diagramsrotating circuits


Mathematics Subject Classification ID

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


Related Items

On the combinatorics of smoothing ⋮ Graph-links: nonrealizability, orientation, and Jones polynomial ⋮ Picture-valued parity-biquandle bracket ⋮ Free knots and groups ⋮ Multistring based matrices ⋮ An invariant of graph-links valued in graphs and an almost classification of graph-links ⋮ Monodromy, groups, and picture-valued invariants of link ⋮ Embeddings of Four-valent Framed Graphs into 2-surfaces



Cites Work

  • State models and the Jones polynomial
  • Jones polynomials and classical conjectures in knot theory
  • Kauffman's polynomial and alternating links
  • Circle graph obstructions
  • Virtual knot theory
  • A polynomial invariant for knots via von Neumann algebras
  • VASSILIEV KNOT INVARIANTS COMING FROM LIE ALGEBRAS AND 4-INVARIANTS
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