# 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.
Keywords :
Type de document :
Communication dans un congrès
Krattenthaler, Christian and Strehl, Volker and Kauers, Manuel. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), pp.325-336, 2009, DMTCS Proceedings
Domaine :

Littérature citée [11 références]

https://hal.inria.fr/hal-01185446
Contributeur : Coordination Episciences Iam <>
Soumis le : jeudi 20 août 2015 - 11:10:15
Dernière modification le : mardi 7 mars 2017 - 15:04:22
Document(s) archivé(s) le : mercredi 26 avril 2017 - 10:19:16

### Fichier

dmAK0127.pdf
Fichiers éditeurs autorisés sur une archive ouverte

### Identifiants

• HAL Id : hal-01185446, version 1

### Citation

Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy. On wiring and tiling diagrams related to bases of tropical Plücker functions. Krattenthaler, Christian and Strehl, Volker and Kauers, Manuel. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), pp.325-336, 2009, DMTCS Proceedings. 〈hal-01185446〉

### Métriques

Consultations de la notice

## 44

Téléchargements de fichiers