Boolean algebra on region crossing change and an inequality of the region unknotting number

TL;DR

This paper employs Boolean algebra to analyze the region unknotting number of knots, establishing an improved upper bound of (c+1)/2 compared to previous (c+2)/2, where c is the crossing number.

Contribution

The authors introduce a Boolean algebra approach to derive a tighter upper bound on the region unknotting number of knots.

Findings

Region unknotting number is at most (c+1)/2 for any knot with crossing number c.

The new bound improves upon the previous (c+2)/2 bound.

The method provides a systematic way to estimate the region unknotting number.

Abstract

Using Boolean algebra, we discuss the region unknotting number of a knot, and show that the region unknotting number is less than or equal to (c+1)/2 for any knot with crossing number c. This is a progress from (c+2)/2.