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On wiring and tiling diagrams related to bases of tropical Plücker functions

Abstract : We consider the class of bases $B$ of tropical Plücker functions on the Boolean $n$-cube such that $B$ can be obtained by a series of flips from the basis formed by the intervals of the ordered set of $n$ elements. We show that these bases are representable by special wiring diagrams and by certain arrangements generalizing rhombus tilings on a zonogon.
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Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy. On wiring and tiling diagrams related to bases of tropical Plücker functions. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. pp.325-336. ⟨hal-01185446⟩

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