Upper bound on delta-crossing and tabulation of knots up to four delta-crossings

Michal Jablonowski

Published 2022-04-05Version 1

We strengthened the known upper bound on the delta-crossing number of knots in therms of the triple-crossing number with additional assumptions. We also prove that we can always find at least one tangle from the set of four tangles, in any triple-crossing projections of any non-trivial knot or non-split link. In the last section, we enumerate and generate tables of minimal delta-diagrams for all prime knots up to the delta-crossing number equal to four.