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math.GT2015★ 3 cited
Minimal sufficient sets of colors and minimum number of colors
Jun Ge, Xian'an Jin, Louis H. Kauffman +2
In this paper we first investigate minimal sufficient sets of colors for p=11 and 13. For odd prime p and any p-colorable link L with non-zero determinant, we give alternative proo…
math.GT2014★ 1 cited
When will the crossing number of an alternating link decrease by two via a crossing change?
Xian'an Jin, Fuji Zhang, Jun Ge
Let be a reduced alternating diagram of a non-split link and be the link whose diagram is obtained from by a crossing change. If is alternating,…
math.GT2012★ 4 cited
Equivalence Classes of Colorings
Jun Ge, Slavik Jablan, Louis H. Kauffman +1
For any link and for any modulus we introduce an equivalence relation on the set of non-trivial m-colorings of the link (an m-coloring has values in Z/mZ). Given a diagram of t…