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2016 On the ribbon graphs of links in real projective space
Iain Moffatt, Johanna Strömberg
Involve 9(1): 133-153 (2016). DOI: 10.2140/involve.2016.9.133

Abstract

Every link diagram can be represented as a signed ribbon graph. However, different link diagrams can be represented by the same ribbon graphs. We determine how checkerboard colourable diagrams of links in real projective space, and virtual link diagrams, that are represented by the same ribbon graphs are related to each other. We also find moves that relate the diagrams of links in real projective space that give rise to (all-A) ribbon graphs with exactly one vertex.

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Iain Moffatt. Johanna Strömberg. "On the ribbon graphs of links in real projective space." Involve 9 (1) 133 - 153, 2016. https://doi.org/10.2140/involve.2016.9.133

Information

Received: 28 August 2014; Revised: 6 February 2015; Accepted: 6 February 2015; Published: 2016
First available in Project Euclid: 22 November 2017

zbMATH: 1345.57004
MathSciNet: MR3438450
Digital Object Identifier: 10.2140/involve.2016.9.133

Subjects:
Primary: 57M15
Secondary: 05C10

Keywords: links in real projective space , partial dual , ribbon graph , Tait graph , Turaev surface , virtual link

Rights: Copyright © 2016 Mathematical Sciences Publishers

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Vol.9 • No. 1 • 2016
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