The Perimeter and Site-Perimeter of Set Partitions
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 $[n]$.
2018 ◽
Vol 12
(2)
◽
pp. 413-438
◽
Keyword(s):
2009 ◽
Vol 10
(03)
◽
pp. 189-204
◽
2010 ◽
Vol 4
(2)
◽
pp. 284-308
◽
Keyword(s):
2015 ◽
Vol 25
(2)
◽
pp. 157-176
◽
2011 ◽
Vol 21
(01)
◽
pp. 61-75
◽
Keyword(s):
2015 ◽
Vol 11
(07)
◽
pp. 2239-2246
Keyword(s):
Keyword(s):
Keyword(s):