On the distribution of the -Euler polynomials and the -Genocchi polynomials of higher order.
On the divisibility of generalized central trinomial coefficients.
On the dominance partial ordering of Dyck paths.
On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions.
On the edge set of graphs of lattice paths.
On the entropy and letter frequencies of ternary square-free words.
On the enumeration of a class of plane multigraphs.
On the equivalence of addition formula of lattice paths and the Kolmogorov equation of birth and death processes.
On the Eulerian enumeration of involutions.
On the excedance number of colored permutation groups.
On the expectation and variance of the reversal distance.
On the - and -triangle of the barycentric subdivision of a simplicial complex
For a simplicial complex we study the behavior of its - and -triangle under the action of barycentric subdivision. In particular we describe the - and -triangle of its barycentric subdivision . The same has been done for - and -vector of by F. Brenti, V. Welker (2008). As a consequence we show that if the entries of the -triangle of are nonnegative, then the entries of the -triangle of are also nonnegative. We conclude with a few properties of the -triangle of .
On the generation and enumeration of some classes of convex polyominoes.
On the genus distribution of -dipoles.
On the Geometry and Combinatorics of the Array of Multinomial Coefficients
On the height of a random set of points in a -dimensional unit cube.
On the Horton-Strahler number for combinatorial tries
On the Horton-Strahler Number for Combinatorial Tries
In this paper we investigate the average Horton-Strahler number of all possible tree-structures of binary tries. For that purpose we consider a generalization of extended binary trees where leaves are distinguished in order to represent the location of keys within a corresponding trie. Assuming a uniform distribution for those trees we prove that the expected Horton-Strahler number of a tree with α internal nodes and β leaves that correspond to a key is asymptotically given by provided that α...
On the k-gamma q-distribution
We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Díaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.
On the least common multiple of -binomial coefficients.