Abstract
For an effectively [Formula: see text]-colorable knot [Formula: see text], the palette number [Formula: see text] is the minimum number of distinct colors for all effective [Formula: see text]-colorings of [Formula: see text]. It is known that [Formula: see text] for any effectively [Formula: see text]-colorable knot [Formula: see text]. In this paper, we show that for any odd [Formula: see text] and effectively [Formula: see text]-colorable torus knot [Formula: see text] it holds that [Formula: see text] namely, any effectively [Formula: see text]-colorable torus knot has an effectively [Formula: see text]-colored diagram with [Formula: see text] colors.
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