Geodesic
Separated set-systems and their geometric models
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 65 (2010) no. 4, pp. 659-740

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This paper discusses strongly and weakly separated set-systems as well as rhombus tilings and wiring diagrams which are used to produce such systems. In particular, the Leclerc–Zelevinsky conjectures concerning weakly separated systems are proved. Bibliography: 54 titles.
Keywords: Laurent phenomenon, wiring, total positivity, rhombus tiling, Bruhat order.
Mots-clés : Plücker relations 
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V. I. Danilov; A. V. Karzanov; G. A. Koshevoy. Separated set-systems and their geometric models. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 65 (2010) no. 4, pp. 659-740. http://geodesic.mathdoc.fr/item/RM_2010_65_4_a2/