منابع مشابه
On maximal weakly separated set-systems
For a permutation ω ∈ Sn, Leclerc and Zelevinsky in Am. Math. Soc. Transl., Ser. 2 181, 85–108 (1998) introduced the concept of an ω-chamber weakly separated collection of subsets of {1,2, . . . , n} and conjectured that all inclusionwise maximal collections of this sort have the same cardinality (ω)+n+1, where (ω) is the length of ω. We answer this conjecture affirmatively and present a genera...
متن کاملAbstract Numeration Systems and Tilings
numeration systems and tilings Valérie Berthé and Michel Rigo 1 LIRMM, CNRS-UMR 5506, Univ. Montpellier II, 161 rue Ada, 34392 Montpellier Cedex 5, France, [email protected] 2 Université de Liège, Institut de Mathématiques, Grande Traverse 12 (B 37), B-4000 Liège, Belgium, [email protected] Abstract. An abstract numeration system is a triple S = (L,Σ,<) where (Σ,<) is a totally ordered alphabet an...
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This paper presents a numerical investigation for laminar forced convection flow of a radiating gas in a rectangular duct with a solid element that makes a backward facing step. The fluid is treated as a gray, absorbing, emitting and scattering medium. The governing differential equations consisting the continuity, momentum and energy are solved numerically by the computational fluid dynamics t...
متن کاملPlücker environments , wiring and tiling diagrams , and weakly separated set - systems
For the ordered set [n] of n elements, we consider the class Bn of bases B of tropical Plücker functions on 2[n] such that B can be obtained by a series of mutations (flips) from the basis formed by the intervals in [n]. We show that these bases are representable by special wiring diagrams and by certain arrangements generalizing rhombus tilings on the n-zonogon. Based on the generalized tiling...
متن کاملRIMS - 1659 Plücker environments , wiring and tiling diagrams , and weakly separated set - systems
For the ordered set [n] of n elements, we consider the class Bn of bases B of tropical Plücker functions on 2[n] such that B can be obtained by a series of mutations (flips) from the basis formed by the intervals in [n]. We show that these bases are representable by special wiring diagrams and by certain arrangements generalizing rhombus tilings on the n-zonogon. Based on the generalized tiling...
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ژورنال
عنوان ژورنال: Selecta Mathematica
سال: 2016
ISSN: 1022-1824,1420-9020
DOI: 10.1007/s00029-016-0264-8