14 citations · 87 across the 38 of their papers we have counts for
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math.CO2001
A special tiling of the rectangle
Carlos Tomei, Tania Vieira
We count tilings of a rectangle of integer sides m-1 and n-1 by a special set of tiles. The result is obtained fron the study of the kernel of the adjacency matrix of an n x n rect…
math.CO2001★ 2 cited
Arithmetic properties of the adjacency matrix of quadriculated disks
Nicolau C. Saldanha, Carlos Tomei
Let be a bicolored quadriculated disk with black-to-white matrix . We show how to factor , where and are lower and upper triangular matrices, $\ti…
math.CO2001
Two results on tilings of quadriculated annuli
Nicolau C. Saldanha, Carlos Tomei
We provide a more informal explanation of two results in our manuscript "Tilings of quadriculated annuli". Tilings of a quadriculated annulus are counted according to volume (i…