Recognizing and performing Reidemeister moves in Gauss diagrams is a useful technique for manipulating virtual knots. For R1 and R2 moves, this process is well understood. We review these cases and then provide a new, elementary algorithm for recognizing R3 moves.
"Reidemeister moves in Gauss diagrams." Involve 14 (3) 431 - 438, 2021. https://doi.org/10.2140/involve.2021.14.431