Structure of spaces of rhombus tilings in the lexicograhic case.

Abstract : We study a class of lexicographic rhombus tilings of zonotopes, which are deduced from higher Bruhat orders relaxing the unitarity condition. We prove that a space of such tilings is a graded poset with minimal and maximal element.
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Eric Rémila. Structure of spaces of rhombus tilings in the lexicograhic case.. [Research Report] LIP RR-2005-19, Laboratoire de l'informatique du parallélisme. 2005, 2+26p. ⟨hal-02101911⟩

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