Tilings of quadriculated annuli

Details Tilings of quadriculated annuli Tilings of quadriculated annuli

2000-12-29

arxiv.org/abs/math/0012265v2

Journal of Combinatorial Theory, Series B 88 (2003) 153-183

Mathematics

Combinatorics

33 pages, 12 figures; Minor changes were made to make some passages clearer

Scientific paper

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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