数值半群的Ω不变量在有效整数集上的优化计算
On the computation of the Omega invariant of a numerical semigroup by optimizing over an efficient integer set
摘要:
在本文中,我们提出了一个数学公式的Ω不变量的数值半群的每个最小生成元。该模型由求解多目标线性整数规划有效集上的线性函数优化问题组成。我们提供了一种方法来解决这个问题,我们提供了一些计算实验来显示所提出的算法的适用性。
英文摘要:
In this paper we present a mathematical formulation for the omega invariant of a numerical semigroup for each of its minimal generators. The model consists of solving a problem of optimizing a linear function over the efficient set of a multiobjective linear integer program. We offer a methodology to solve this problem and we provide some computational experiments to show the applicability of the proposed algorithm.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。