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arxiv: math/0012265 · v2 · submitted 2000-12-29 · 🧮 math.CO

Tilings of quadriculated annuli

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keywords quadriculatedrootstilingsaccordingalgebraicannuliannulusconsider
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Tilings of a quadriculated annulus A are counted according to volume (in the formal variable q) and flux (in p). We consider algebraic properties of the resulting generating function Phi_A(p,q). For q = -1, the non-zero roots in p must be roots of unity and for q > 0, real negative.

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