Geodesic
Refined Enumerations of Alternating Sign Triangles
Séminaire lotharingien de combinatoire, 78B (2017)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We generalise alternating sign triangles, which were recently introduced by Ayyer, Behrend and Fischer and shown to be equinumerous with ASMs, to AS-trapezoids and introduce a refinement by Catalan objects. We show that the number of AS-trapezoids associated with a fixed Catalan object is a polynomial in the length of the shorter base of the trapezoid. As a special case we obtain an analogue of a polynomiality theorem for fully packed loops with nested arches. 

@article{SLC_2017_78B_a59,
     author = {Florian Aigner},
     title = {Refined {Enumerations} of {Alternating} {Sign} {Triangles}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {78B},
     year = {2017},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a59/}
}
TY  - JOUR
AU  - Florian Aigner
TI  - Refined Enumerations of Alternating Sign Triangles
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a59/
ID  - SLC_2017_78B_a59
ER  - 
%0 Journal Article
%A Florian Aigner
%T Refined Enumerations of Alternating Sign Triangles
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a59/
%F SLC_2017_78B_a59
Florian Aigner. Refined Enumerations of Alternating Sign Triangles. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a59/