Plane recursive trees, Stirling permutations and an urn model
2008 ◽
Vol DMTCS Proceedings vol. AI,...
(Proceedings)
◽
Keyword(s):
International audience We exploit a bijection between plane recursive trees and Stirling permutations; this yields the equivalence of some results previously proven separately by different methods for the two types of objects as well as some new results. We also prove results on the joint distribution of the numbers of ascents, descents and plateaux in a random Stirling permutation. The proof uses an interesting generalized Pólya urn.
Keyword(s):
2013 ◽
Vol 50
(4)
◽
pp. 1169-1186
◽
Keyword(s):
2019 ◽
Vol 34
(4)
◽
pp. 469-483
1997 ◽
Vol 34
(02)
◽
pp. 426-435
◽
Keyword(s):
2013 ◽
Vol 50
(04)
◽
pp. 1169-1186
◽
Keyword(s):
2005 ◽
Vol 57
(1)
◽
pp. 49-59
◽
Keyword(s):
Keyword(s):
2017 ◽
Vol 54
(1)
◽
pp. 96-117
◽
Keyword(s):
Keyword(s):
Keyword(s):