Proves symmetry for boundary-defect off-diagonally symmetric tilings of odd Aztec diamonds and gives Pfaffian formulas for nearly symmetric cases via non-intersecting paths and Delannoy numbers.
Mar kov chain algorithms for planar lattice structures
2 Pith papers cite this work. Polarity classification is still indexing.
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Gives an unsigned determinant formula for the total weight of non-intersecting path families in upward-planar DAGs, with matrix entries being signed path counts.
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Off-diagonally symmetric domino tilings of the Aztec diamond of odd order
Proves symmetry for boundary-defect off-diagonally symmetric tilings of odd Aztec diamonds and gives Pfaffian formulas for nearly symmetric cases via non-intersecting paths and Delannoy numbers.