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Catalan structures and Catalan pairs
Theoretical Computer Science, 2013 A Catalan pair is a pair of binary relations (S,R) satisfying certain axioms. These objects are enumerated by the well-known Catalan numbers, and have been introduced with the aim of giving a common language to most of the structures counted by Catalan numbers.
Stefano Bilotta +3 more
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CATALAN CHRISTMAS: NOURISHMENT IN CATALAN LITERATURE [PDF]
Catalan Review, 1989 [ENG] First of all, the subject of our meeting has plunged me into severe meditations. Nourishment! Should I begin by talking about manducatory archetypes, about sexual and digestive descent, about the digestive scheme or the system of the pork? How should we centre a subject which is so familiar, so well known and, after all, so trivial, on our ...
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The NADPH oxidase NOX4 regulates redox and metabolic homeostasis preventing HCC progression
Hepatology, EarlyView., 2022 Loss of NOX4 in HCC tumor cells induces metabolic reprogramming in a Nrf2/MYC‐dependent manner to promote HCC progression. Abstract Background and Aims The NADPH oxidase NOX4 plays a tumor‐suppressor function in HCC. Silencing NOX4 confers higher proliferative and migratory capacity to HCC cells and increases their in vivo tumorigenic potential in ...
Irene Peñuelas‐Haro +14 more
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Eulerian-Catalan Numbers [PDF]
The Electronic Journal of Combinatorics, 2011 We show that the Eulerian-Catalan numbers enumerate Dyck permutations. We provide two proofs for this fact, the first using the geometry of alcoved polytopes and the second a direct combinatorial proof via an Eulerian-Catalan analogue of the Chung-Feller theorem.
Hoda Bidkhori, Seth Sullivant
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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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Catalan pairs: A relational-theoretic approach to Catalan numbers
Advances in Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filippo Disanto +3 more
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Discrete Mathematics, 1976 AbstractWe develop an arithmetic triangle similar to Pascal's triangle. The entries are interpreted in terms of numbers of pairs of nonintersecting paths in the first quadrant. The main applications are results about the Catalan numbers and various random walk problems.
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Journal of Combinatorial Theory, Series A, 2003 17 pages; submitted to the Journal of Combinatorial Theory - Series ...
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source
, 2022 Catalan is a “medium-sized” Romance language spoken by over 10 million speakers, spread over four nation states: Northeastern Spain, Andorra, Southern France, and the city of L’Alguer (Alghero) in Sardinia, Italy. Catalan is divided into two primary dialectal divisions, each with further subvarieties: Western Catalan (Western Catalonia, Eastern Aragon,
Lloret, Maria-Rosa +1 more
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