Some remarks on 3-partitions of multisets

Q2 Mathematics Electronic Notes in Discrete Mathematics Pub Date : 2018-12-01 DOI:10.1016/j.endm.2018.11.001

Dorin Andrica, Ovidiu Bagdasar

引用次数: 6

Abstract

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,…, m_n; $α_{1}$ ,…, $α_{n}$ ), for which we find the generating function and give a useful integral formula. Some recurrence formulae are then established and new integer sequences are added to OEIS, which are related to the number of solutions for the 3-signum equation.

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关于多集的3-分区的一些注释

分区在许多组合优化问题中起着重要的作用。这里我们引入一个多集M的有序3分区的数目，它们具有相等的和，记为S(m1，…，mn;α1，…，αn)，求出了生成函数，并给出了一个有用的积分公式。然后建立了一些递推公式，并在OEIS中加入了新的整数序列，这些序列与3- sgn方程的解的个数有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

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0.00%

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