Results 121 to 130 of about 144,269 (377)
On the (n,k)-th Catalan numbers [PDF]
Commun. Korean Math. Soc. 23(3) (2008) 349-356, 2015 In this paper, we generalize the Catalan number to the $(n,k)$-th Catalan numbers and find a combinatorial description that the $(n,k)$-th Catalan numbers is equal to the number of partitions of $n(k-1)+2$ polygon by $(k+1)$-gon where all vertices of all $(k+1)$-gons lie on the vertices of $n(k-1)+2$ polygon.
arxiv
Alternating Convolutions of Catalan Numbers [PDF]
arXiv, 2020 A new class of alternating convolutions concerning binomial coefficients and Catalan numbers are evaluated in closed forms.
arxiv
International Journal of Cancer, EarlyView.What's New? Serrated polyposis syndrome has been associated with an increased risk of colorectal cancer. HIC1 is a tumor suppressor gene commonly silenced in serrated polyps and several cancers. This study suggests HIC1 as a novel germline predisposition factor to serrated polyposis syndrome, with variants altering gene transcriptional regulation and ...
Xavier Domínguez‐Rovira +24 more
wiley +1 more source
Signature Catalan Combinatorics [PDF]
arXiv, 2018 The Catalan numbers constitute one of the most important sequences in combinatorics. Catalan objects have been generalized in various directions, including the classical Fuss-Catalan objects and the rational Catalan generalization of Armstrong-Rhoades-Williams.
arxiv
iMeta, EarlyView.In this study, we found evidence of phage‐mediated horizontal transfer of virulence genes in Salmonella enterica in global habitats from a molecular evolutionary perspective. Notably, csrA, a global regulator in Salmonella enterica, curbed horizontal gene transfer by inhibiting the cyclization and release of prophage.
Tianjing She +9 more
wiley +1 more source
Three Identities of the Catalan-Qi Numbers
Mathematics, 2016 In the paper, the authors find three new identities of the Catalan-Qi numbers and provide alternative proofs of two identities of the Catalan numbers. The three identities of the Catalan-Qi numbers generalize three identities of the Catalan numbers.
Mansour Mahmoud, Feng Qi
doaj +1 more source
Random graphs induced by Catalan pairs [PDF]
arXiv, 2019 We consider Catalan-pair graphs, a family of graphs that can be viewed as representing certain interactions between pairs of objects which are enumerated by the Catalan numbers. In this paper we study random Catalan-pair graphs and deduce various properties of these random graphs.
arxiv
, 2018 The present study explores two morphological differences in direct object expression between Spanish and Catalan: Differential Object Marking (DOM), and the accusative clitics el /l/ vs. ho /u/.
Sílvia Perpiñán
semanticscholar +1 more source
Expression of De Novo Open Reading Frames in Natural Populations of Drosophila melanogaster
Journal of Experimental Zoology Part B: Molecular and Developmental Evolution, EarlyView.We show that newly‐evolved, expressed open reading frames (neORFs) identified in a set of inbred Drosophila melanogaster lines are also expressed in multiple tissues and developmental stages of pooled population samples from Europe and Africa, although differential expression of neORFs between populations is often tissue‐ or stage‐specific. ABSTRACT De
Amanda Glaser‐Schmitt +4 more
wiley +1 more source