A subspecies of region crossing change, region freeze crossing change

TL;DR

This paper introduces a new local move called region freeze crossing change in link diagrams, compares it with the existing region crossing change, and explores their similarities and differences.

Contribution

It presents the concept of region freeze crossing change and analyzes its relationship to the region crossing change, a novel variation in link diagram modifications.

Findings

Region freeze crossing change is closely related to region crossing change.

The paper identifies key differences between the two moves.

Potential implications for link diagram simplification are discussed.

Abstract

We introduce a local move on a link diagram named a region freeze crossing change which is close to a region crossing change, but not the same. We study similarity and difference between region crossing change and region freeze crossing change.