The Y-Triangle Move Does Not Preserve Intrinsic Knottedness
Y-triangle, intrinsic knottedness
We answer the question ``Does the Y-triangle move preserve intrinsic knottedness?'' in the negative by giving an example of a graph that is obtained from the intrinsically knotted graph K_7 by triangle-Y and Y-triangle moves but is not intrinsically knotted.
© 2008 Osaka University and Osaka City University, Departments of Mathematics
E. Flapan and R. Naimi, The Y-triangle move does not preserve intrinsic knottedness, Vol. 45 (1) Osaka Journal of Mathematics (2008) 107–111.