Results 61 to 70 of about 246,865 (191)
Some remarks on 3-partitions of multisets. [PDF]
, 2018 Partitions play an important role in numerous combinatorial optimization problems. Here we introduce the number of ordered 3-partitions of a multiset M having equal sums denoted by S(m1, ..., mn; α1, ..., αn), for which we find the generating function ...
Andrica, Dorin, Bagdasar, Ovidiu
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Efficient calculation of the number of partitions of the set into subsets satisfying
Mathematics OpenConsider the set [Formula: see text]. We are interested in determining the number of partitions of this set into subsets of three elements each, where the sum of two of the elements equals the third.
Christian Hercher, Frank Niedermeyer
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The lattice of integer partitions and its infinite extension [PDF]
, 2008 International audienceIn this paper, we use a simple discrete dynamical model to study integer partitions and their lattice. The set of reachable configurations of the model, with the order induced by the transition rule defined on it, is the lattice of ...
Thi Ha Duong Phan +3 more
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A generalisation of two partition theorems of Andrews [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 In 1968 and 1969, Andrews proved two partition theorems of the Rogers-Ramanujan type which generalise Schur’s celebrated partition identity (1926). Andrews’ two generalisations of Schur’s theorem went on to become two of the most influential results in ...
Jehanne Dousse
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A Generalization of Conjugation of Integer Partitions
The Electronic Journal of CombinatoricsWe exhibit, for any positive integer parameter $s$, an involution on the set of integer partitions of $n$. These involutions show the joint symmetry of the distributions of the following two statistics. The first counts the number of parts of a partition divisible by $s$, whereas the second counts the number of cells in the Ferrers diagram of a ...
Seamus P. Albion +6 more
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Probabilities as Values of Modular Forms and Continued Fractions
International Journal of Mathematics and Mathematical Sciences, 2009 We consider certain probability problems which are naturally related to integer partitions. We show that the corresponding probabilities are values of classical modular forms.
Riad Masri, Ken Ono
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On Multidimensional Inequality in Partitions of Multisets [PDF]
We study multidimensional inequality in partitions of finite multisets with thresholds. In such a setting, a Lorenz-like preorder, a family of functions preserving such a preorder, and a counterpart of the Pigou-Dalton transfers are defined, and a ...
Ernesto Savaglio, Stefano Vannucci
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Separable integer partition classes
Transactions of the American Mathematical Society, Series B, 2022 A classical method for partition generating function is developed into a tool with wide applications. New expansions of well-known theorems are derived, and new results for partitions with n n
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Algebraic structures in integer partitions
, 2022 A thesis submitted in fulfilment of the requirements for the degree of Doctor of Philosophy to the Faculty of Science, School of Mathematics, University of the Witwatersrand, Johannesburg, 2022We study various algebraic structures based on the derived ...
Takalani, Ntendeni Annah
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COMPUTING VERTICES OF INTEGER PARTITION POLYTOPES
Informatika, 2016 The paper describes a method of generating vertices of the polytopes of integer partitions that was used by the authors to calculate all vertices and support vertices of the partition polytopes for all n ≤ 105 and all knapsack partitions of n ≤ 165.
A. S. Vroublevski, V. A. Shlyk
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