The palette numbers of 2-bridge knots

作者：Nakamura Takuji; Nakanishi Yasutaka; Saito Masahico; Satoh Shin^*

来源：Journal of Knot Theory and Its Ramifications, 2017, 26(8): 1750047.

DOI：10.1142/S021821651750047X

• 2-bridge knot
• diagram
• coloring
• tangle
• Schubert form

We prove that for any odd n >= 3, the n-palette number of any effectively n-colorable 2-bridge knot is equal to 2+ [log(2) n]. Namely, there is an effectively n-colored diagram of the 2-bridge knot such that the number of distinct colors that appeared in the diagram is exactly equal to 2 + [log(2) n].

• 出版日期2017-7