Combinatorial enumeration of partitions of a convex polygon
Journal of integer sequences, Tome 18 (2015) no. 9
We establish a class of polynomials on convex polygons, which provides a new counting formula to all partitions of a convex polygon by non-intersecting diagonals.
Classification :
51E12, 05A15, 13N15, 16W25
Keywords: polygon, diagonal, combinatorial enumeration, derivation, generating function
Keywords: polygon, diagonal, combinatorial enumeration, derivation, generating function
@article{JIS_2015__18_9_a4,
author = {Zhang, Dong and Wei, Dongyi and Zhang, Demin},
title = {Combinatorial enumeration of partitions of a convex polygon},
journal = {Journal of integer sequences},
year = {2015},
volume = {18},
number = {9},
zbl = {1330.52003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_9_a4/}
}
Zhang, Dong; Wei, Dongyi; Zhang, Demin. Combinatorial enumeration of partitions of a convex polygon. Journal of integer sequences, Tome 18 (2015) no. 9. http://geodesic.mathdoc.fr/item/JIS_2015__18_9_a4/