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The state numbers of a virtual knot

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Publication:5420657
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DOI10.1142/S0218216514500163zbMath1292.57007WikidataQ114072915 ScholiaQ114072915MaRDI QIDQ5420657

Yumi Tomiyama, Takuji Nakamura, Shin Satoh, Yasutaka Nakanishi

Publication date: 13 June 2014

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)




zbMATH Keywords

Jones polynomialvirtual knotGauss diagramMiyazawa polynomialstate number


Mathematics Subject Classification ID


Cites Work

  • Virtual knot theory
  • THE POLE DIAGRAM AND THE MIYAZAWA POLYNOMIAL
  • A MULTI-VARIABLE POLYNOMIAL INVARIANT FOR VIRTUAL KNOTS AND LINKS
  • VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
  • On the crossing numbers of a virtual knot


Related Items (5)

Finiteness of the set of virtual knots with a given state number ⋮ On knots with no 3-state ⋮ Edge-disjoint spanning trees and the number of maximum state circles of a graph ⋮ The number of circles of a maximum state of a plane graph with applications ⋮ Determinant of links, spanning trees, and a theorem of Shank





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