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» Divisibility of generalized Catalan numbers
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DM
2006
59views more  DM 2006»
13 years 5 months ago
Factors of the Gaussian coefficients
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 ...
William Y. C. Chen, Qing-Hu Hou
COMBINATORICS
2004
121views more  COMBINATORICS 2004»
13 years 5 months ago
Class-Uniformly Resolvable Group Divisible Structures I: Resolvable Group Divisible Designs
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...
Peter Danziger, Brett Stevens
CORR
2011
Springer
150views Education» more  CORR 2011»
13 years 9 days ago
Asymptotic Enumeration of Non-crossing Partitions on Surfaces
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...
Juanjo Rué, Ignasi Sau, Dimitrios M. Thilik...
LREC
2008
120views Education» more  LREC 2008»
13 years 6 months ago
Division of Example Sentences Based on the Meaning of a Target Word Using Semi-Supervised Clustering
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....
Hiroyuki Shinnou, Minoru Sasaki
EJC
2010
13 years 5 months ago
Bijections for a class of labeled plane trees
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 ...
Nancy S. S. Gu, Helmut Prodinger, Stephan Wagner