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» Enumeration of connected Catalan objects by type
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EJC
2011
13 years 5 months ago
Enumeration of connected Catalan objects by type
Noncrossing set partitions, nonnesting set partitions, Dyck paths, and rooted plane trees are four classes of Catalan objects which carry a notion of type. There exists a product f...
Brendon Rhoades
DM
2008
100views more  DM 2008»
13 years 11 months ago
Staircase tilings and k-Catalan structures
Many interesting combinatorial objects are enumerated by the k-Catalan numbers, one possible generalization of the Catalan numbers. We will present a new combinatorial object that...
Silvia Heubach, Nelson Y. Li, Toufik Mansour
ARSCOM
2008
117views more  ARSCOM 2008»
13 years 11 months ago
Subset Counting in Trees
Various enumeration problems for classes of simply generated families of trees have been the object of investigation in the past. We mention the enumeration of independent subsets,...
Stephan G. Wagner