12 citations · 21 across the 11 of their papers we have counts for
11 papers
Enumeration on row-increasing tableaux of shape
Rosena R. X. Du, Xiaojie Fan, Yue Zhao
Recently O. Pechenik studied the cyclic sieving of increasing tableaux of shape , and obtained a polynomial on the major index of these tableaux, which is a -analogue…
Refinements of two identities on -Dyck paths
Rosena R. X. Du, Kuo Yu
For integers with and , an -Dyck path is a lattice path in the integer lattice using up steps and d…
Counting vertices in plane and -ary trees with given outdegree
Rosena R. X. Du, Jia He, Xueli Yun
We count the number of vertices in plane trees and -ary trees with given outdegree, and prove that the total number of vertices of outdegree over all plane trees with ed…
Enumerations of humps and peaks in -paths and -Dyck paths via bijective proofs
Rosena R. X. Du, Yingying Nie, Xuezhi Sun
Recently Mansour and Shattuck studied -paths and gave formulas that relate the total number of humps (peaks) in all -paths to the number of super -paths. These…
Separation probabilities for products of permutations
Olivier Bernardi, Alejandro H. Morales, Richard P. Stanley +1
We study the mixing properties of permutations obtained as a product of two uniformly random permutations of fixed cycle types. For instance, we give an exact formula for the proba…
On protected nodes in Digital Search Trees
Rosena R. X. Du, Helmut Prodinger
Recently, 2-protected nodes were studied in the context of ordered trees and -trees. These nodes have a distance of at least 2 to each leaf. Here, we study digital search trees,…