The KH property excludes pseudoalternating pseudodiagrams

A pseudodiagram is a diagram of a pseudoknot, and it has the KH property when both of its resolution diagrams require the coloring behavior described above. A pseudodiagram is pseudoalternating if it has an alternating resolution.

KH–pseudoalternating conjecture. A pseudodiagram with the KH property cannot be pseudoalternating.

This is an open question about the interaction between the KH property and alternating resolutions of pseudodiagrams; the source places it among open problems concerning colorings of pseudoknots.