Results 1 to 10 of about 9,463,328 (331)
Stochastic Process Leading to Catalan Number Recurrence [PDF]
Mathematics, 2023 Motivated by a simple model of earthquake statistics, a finite random discrete dynamical system is defined in order to obtain Catalan number recurrence by describing the stationary state of the system in the limit of its infinite size.
Mariusz Białecki
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What power of two divides a weighted Catalan number? [PDF]
Journal of Combinatorial Theory, 2006 Given a sequence of integers b = (b_0,b_1,b_2,...) one gives a Dyck path P of length 2n the weight wt(P) = b_{h_1} b_{h_2} ... b_{h_n}, where h_i is the height of the ith ascent of P. The corresponding weighted Catalan number is C_n^b = sum_P wt(P),
Alexander Postnikov, Bruce E. Sagan
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AN ALTERNATIVE DECOMPOSITION OF CATALAN NUMBER [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2018 A particular integer sequence derived by the convex polygon triangulation is introduced and investigated. After some underlying results are presented, the forbidden (or improper) integer values relative to the triangulation are concerned.
Predrag Krtolica +2 more
semanticscholar +5 more sources
General Practitioners’ Perceptions of Whether Teleconsultations Reduce the Number of Face-to-face Visits in the Catalan Public Primary Care System: Retrospective Cross-Sectional Study (Preprint) [PDF]
Journal of Medical Internet Research, 2019 Background eConsulta is a teleconsultation service involving general practitioners (GPs) and patients. It is part of the information system belonging to Catalonia’s primary care service.
Francesc López Seguí +4 more
semanticscholar +3 more sources
On Coloring Catalan Number Distance Graphs and Interference Graphs [PDF]
Symmetry, 2018 A vertex coloring of a graph G is a mapping that allots colors to the vertices of G. Such a coloring is said to be a proper vertex coloring if two vertices joined by an edge receive different colors.
V. Yegnanarayanan +2 more
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The Relationship of Multiset, Stirling Number, Bell Number, and Catalan Number
Science and Technology Indonesia, 2023 Catalan numbers is not as famous as Fibonacci numbers, however this number has own its beauty and arts. Catalan numbers was discovered by Ming Antu in 1730, however, this numbers is credited to Eugene Catalan when he was studying parentheses in 1838 ...
Wamiliana Wamiliana +2 more
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Confirming the Kleitman–Winston Conjecture on the Largest Coefficient in a q-Catalan Number
Journal of Combinatorial Theory, 2000 In 1983 Kleitman and Winston conjectured that the largest coefficient in an n th q -Catalan number is of order O (4 n / n 3/2 ). Assuming its truth, they proved that the total number of n -tournament score sequences is O (4 n / n 5/2 ), thus matching ...
Jeong Han Kim, Boris Pittel
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Growing and Destroying Catalan-Stanley Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Stanley lists the class of Dyck paths where all returns to the axis are of odd length as one of the many objects enumerated by (shifted) Catalan numbers.
Benjamin Hackl, Helmut Prodinger
doaj +5 more sources
, 2015 Vigenere Cipher is one of the well-known ciphering algorithms of the past. Modifications to Vigenere Cipher algorithm is made to improve its security, making it more difficult to decipher by a cryptanalyst.
Guruh Marindra Pratama +1 more
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Data Hiding Technique using Catalan-Lucas Number Sequence
, 2017 In this paper, a novel data hiding technique is proposed which is an improvement over an existing data hiding techniques. Generally, a pixel intensity value of an image is represented by 8-bit binary sequence.
Shilpa Pund-Dange, Chitra Desai
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