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20072013
most citedFactorization Properties of Leamer Monoids

9 citations

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math.GT2012★ 1 cited

Vassiliev Invariants from Parity Mappings

H. A. Dye

Parity mappings from the chords of a Gauss diagram to the integers is defined. The parity of the chords is used to construct families of invariants of Gauss diagrams and virtual kn…

math.GT2008

Virtual Crossing Number and the Arrow Polynomial

H. A. Dye, Louis H. Kauffman

We introduce a new polynomial invariant of virtual knots and links and use this invariant to compute a lower bound on the virtual crossing number and the minimal surface genus.

math.GT2007

Pure Virtual Braids Homotopic to the Identity Braid

H. A. Dye

Two virtual link diagrams are homotopic if one may be transformed into the other by a sequence of virtual Reidemeister moves, classical Reidemeister moves, and self crossing change…