Abstract. We present some simple observations on factors of the qbinomial coefficients, the q-Catalan numbers, and the q-multinomial coefficients. Writing the Gaussian coefficient ...
We consider Class-Uniformly Resolvable Group Divisible Designs (CURGDD), which are resolvable group divisible designs in which each of the resolution classes has the same number o...
We generalize the notion of non-crossing partition on a disk to general surfaces with boundary. For this, we consider a surface Σ and introduce the number CΣ(n) of noncrossing pa...
In this paper, we describe a system that divides example sentences (data set) into clusters, based on the meaning of the target word, using a semi-supervised clustering technique....
We consider plane trees whose vertices are given labels from the set {1, 2, . . . , k} in such a way that the sum of the labels along any edge is at most k + 1; it turns out that ...