dimer Pfaffian

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Pfaffian — In mathematics, the determinant of a skew symmetric matrix can always be written as the square of a polynomial in the matrix entries. This polynomial is called the Pfaffian of the matrix. The Pfaffian is nonvanishing only for 2 n times; 2 n skew… … Wikipedia
Domino tiling — of a square A domino tiling of a region in the Euclidean plane is a tessellation of the region by dominos, shapes formed by the union of two unit squares meeting edge to edge. Equivalently, it is a matching in the grid graph formed by placing a… … Wikipedia
Tutte polynomial — This article is about the Tutte polynomial of a graph. For the Tutte polynomial of a matroid, see Matroid. The polynomial x4 + x3 + x2y is the Tutte polynomial of the Bull graph. The red line shows the intersection with the plane … Wikipedia

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