On wiring and tiling diagrams related to bases of tropical Plücker functions
Vladimir I. Danilov (1), Alexander V. Karzanov (2), Gleb A. Koshevoy (1)
(1) Central Institute of Economics and Mathematics of the RAS
(2) Institute for System Analysis of the RAS
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.
