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Parity conditions for realizability of Gauss diagrams

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We consider a problem of realizability of Gauss diagrams by closed plane curves where the plane curves have only double points of transversal self-intersection. We formulate the necessary and sufficient… Click to show full abstract

We consider a problem of realizability of Gauss diagrams by closed plane curves where the plane curves have only double points of transversal self-intersection. We formulate the necessary and sufficient conditions for realizability. These conditions are based only on the parity of double and triple intersections of the chords in the Gauss diagram.

Keywords: parity conditions; realizability; conditions realizability; gauss diagrams; realizability gauss

Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2019

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