Arc shift move and region arc shift move for twisted knots
Abstract
In this paper, we study the unknotting operation for twisted knots, called arc shift move. First, we find a family of twisted knots with arc shift number n for any given n ∈ N. Then we define a new unknotting operation, called the region arc shift move for twisted knots and find family of twisted knots whose region arc shift number is less than or equal to n for any given n ∈ N. Later, we explore bounds for region arc shift number and forbidden number.
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