EXACT SOLUTION OF THE ROW-CONVEX POLYGON GENERATING FUNCTION FOR THE CHECKERBOARD LATTICE

Wen-Jer Tzeng, Ken‐Yu Lin · International Journal of Modern Physics B · 1991

We have studied the row-convex polygons on a general checkerboard lattice and derived the recursion relations for the four-variable generating function. Exact solution of the row-convex polygon generating function is obtained for a special case of the checkerboard lattice. Our result includes the square lattice, rectangular lattice and isotropic honeycomb lattice as special cases.

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