Domino-tiling conjecture for semicontiguous minors

A semicontiguous minor is a minor $M_A^B$ in which only one of $A$ or $B$ is contiguous. Domino-tiling conjecture. Every semicontiguous minor has an associated domino-tiling region such that the minor is a Laurent polynomial in central minors, with each Laurent monomial corresponding to a domino tiling of the region according to the rule used for the corresponding contiguous-minor theorem. This is proposed as an extension of the domino-tiling description for contiguous minors; the source gives no resolution.