The perimeter and site-perimeter of set partitions
The electronic journal of combinatorics, Tome 26 (2019) no. 2
In this paper, we study the generating function for the number of set partitions of $[n]$ represented as bargraphs according to the perimeter/site-perimeter. In particular, we find explicit formulas for the total perimeter and the total site-perimeter over all set partitions of $[n]$.
DOI :
10.37236/8250
Classification :
05A18, 05A15
Mots-clés : bargraphs
Mots-clés : bargraphs
Affiliations des auteurs :
Toufik Mansour  1
@article{10_37236_8250,
author = {Toufik Mansour},
title = {The perimeter and site-perimeter of set partitions},
journal = {The electronic journal of combinatorics},
year = {2019},
volume = {26},
number = {2},
doi = {10.37236/8250},
zbl = {1414.05039},
url = {http://geodesic.mathdoc.fr/articles/10.37236/8250/}
}
Toufik Mansour. The perimeter and site-perimeter of set partitions. The electronic journal of combinatorics, Tome 26 (2019) no. 2. doi: 10.37236/8250
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