Results 21 to 30 of about 23,659 (299)
Intersection Numbers on Fibrations and Catalan Numbers
Experimental Mathematics, 2023 On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this happens by identifying a class of equations in the Chow ring of a fibration, where the solutions always involve Catalan numbers.
Rimma Hämäläinen +2 more
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Symmetry of Narayana Numbers and Rowvacuation of Root Posets
Forum of Mathematics, Sigma, 2021 For a Weyl group W of rank r, the W-Catalan number is the number of antichains of the poset of positive roots, and the W-Narayana numbers refine the W-Catalan number by keeping track of the cardinalities of these antichains.
Colin Defant, Sam Hopkins
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Holonomic equations and efficient random generation of binary trees [PDF]
Discrete Mathematics & Theoretical Computer ScienceHolonomic equations are recursive equations which allow computing efficiently numbers of combinatoric objects. Rémy showed that the holonomic equation associated with binary trees yields an efficient linear random generator of binary trees.
Pierre Lescanne
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New Expressions for Sums of Products of the Catalan Numbers
Axioms, 2021 In this paper, we perform a further investigation for the Catalan numbers. By making use of the method of derivatives and some properties of the Bell polynomials, we establish two new expressions for sums of products of arbitrary number of the Catalan ...
Conghui Xie, Yuan He
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RESEARCH ON NUMBER THEORY AND SMARANDACHE NOTIONS [PDF]
, 2010 This Book is devoted to the proceedings of the Sixth International Conference on Number Theory and Smarandache Notions held in Tianshui during April 24-25, 2010.
Wenpeng, Zhang
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IDEAS AND PROJECTS IN THE FIELD OF ARCHITECTURE AND URBANISM FROM THE MATERIALS OF THE CATALAN PERIODICALS OF THE SECOND REPUBLIC [PDF]
Латиноамериканский исторический альманах, 2021 Catalan architects who were members of the G.A.T.C.P.A.C. associa-tion and the Association of Architects of Catalonia (SAC) were con-cerned about social, demographic and sanitary issues.
Nataliya Kuzina
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Chromatic statistics for Catalan and Fuß-Catalan numbers
Electronic Journal of Combinatorics, 2011 We refine Catalan numbers and Fuß-Catalan numbers by introducing colour statistics for triangulations of polygons and $d$-dimensional generalisations there-of which we call Fuß-Catalan complexes. Our refinements consist in showing that the number of triangulations, respectively Fuß-Catalan complexes, with a given colour distribution of its vertices is ...
Bacher, Roland, Krattenthaler, Christian
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Conversion Paths of Trieste's Jews in 1938-1939 [PDF]
, 2022 During 1938-1939, a large number of conversions of Jews to Catholicism took place in Trieste. It was not only Italian Jews who converted, but also many foreign Jewish refugees in transit through the Adriatic port on their way to the Americas.
Tullia Catalan
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Journal of Combinatorial Theory, Series A, 1985 Let \(C_ n\) be the set of Catalan words: binary words with n zeros and n ones such that each initial segment has at least as many zeros and ones. For \(w\in C_ n\), let d(w) be the number of descents, a(w) be the sum over all descents of the number of zeros to the left, b(w) be the sum over all descents of the number of ones to the left.
J. Fürlinger, Josef Hofbauer
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