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| 一类记数问题的规划解法 | |
| 引用本文： | 李力,苏正君. 一类记数问题的规划解法[J]. 电子科技大学学报(社会科学版), 2004, 0(3) |
| 作者姓名： | 李力 苏正君 |
| 作者单位： | 西南交通大学峨嵋校区 四川峨嵋614202(李力)，洛阳师范学院数学系 河南洛阳471022(苏正君) |
| 摘 要： | 针对一类偏序关系的记数,根据其特征将其转化为一类不定方程组的非负整数解的个数,利用母函数的方法得到了解的递推公式及其组合意义,并给出了与之联系的有趣的三角形数表。 |
| 关 键 词： | 半序集 不定方程组 非负整数解 规划解 |
Programming Solution of a Class of Indefinite Equations |
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| Li Li,Su Zhengjun. Programming Solution of a Class of Indefinite Equations[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 2004, 0(3) | |
| Authors: | Li Li Su Zhengjun |
| Affiliation: | 1. Emei Branch School of Southwest Jiaotong University Sichuan Emei 614202; 2. Luoyang Normal University Henan Luoyang 471022 |
| Abstract: | A relation of equivalence on a finite set is discussed, and it is transformed into the number of solutions of an indefinite system of equations. Formula and their combinatorial meaning of nonnegative integral solution of such equations are given. |
| Keywords: | partially ordered set indefinite equation nonnegative integral solution programming solution |
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