3 citations · 4 across the 5 of their papers we have counts for
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math.CO2000
Singular polynomials of generalized Kasteleyn matrices
Nicolau C. Saldanha
Kasteleyn counted the number of domino tilings of a rectangle by considering a mutation of the adjacency matrix: a Kasteleyn matrix K. In this paper we present a generalization of…
math.CO1998
An overview of domino and lozenge tilings
Nicolau C. Saldanha, Carlos Tomei
We consider tilings of quadriculated regions by dominoes and of triangulated regions by lozenges. We present an overview of results concerning tileability, enumeration and the stru…
math.CO1997
Spectra of semi-regular polytopes
Nicolau C. Saldanha, Carlos Tomei
We compute the spectra of the adjacency matrices of the semi-regular polytopes. A few different techniques are employed: the most sophisticated, which relates the 1-skeleton of the…