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math.GT2015
Crossing changes, Delta moves, and sharp moves on welded knots
Shin Satoh
We prove that the crossing changes, Delta moves, and sharp moves are unknotting operations on welded knots.
math.GT2015
11-colored knot diagram with five colors
Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh
We prove that any -colorable knot is presented by an -colored diagram where exactly five colors of eleven are assigned to the arcs. The number five is the minimum for all n…