| 给定行和与列和约束的平面划分的存在性 |
| |
| 引用本文： | 武建安,林化夷,吴乐光.给定行和与列和约束的平面划分的存在性[J].华中科技大学学报(自然科学版),1987(Z3). |
| |
| 作者姓名： | 武建安 林化夷 吴乐光 |
| |
| 作者单位： | 华中工学院数学系
(武建安，林化夷)，汕头大学(吴乐光) |
| |
| 摘 要： | 本文提出一类以R为行和向量、S为列和向量的平面划分P(R,S),给出此类平面划分的存在性的充要条件,同时把这一充要条件推广到高维的情形。基函数|P(R,S)|的发生函数亦从理论上得到解决。
|
| 关 键 词： | 分拆 共轭 形 平面划分 行和向量 列和向量 发生函数 |
The Existence of Plane Partitions with Given Row Sum and Column Sum Restrictions |
| |
| Wu Jianan Lin Huayi Wu Leguang.The Existence of Plane Partitions with Given Row Sum and Column Sum Restrictions[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1987(Z3). |
| |
| Authors: | Wu Jianan Lin Huayi Wu Leguang |
| |
| Institution: | Wu Jianan Lin Huayi Wu Leguang |
| |
| Abstract: | The existence of plane partitions with row sum and column sum restrictions is dealt with for the first time in this paper. A series of necessary and sufficient conditions for this problem as well as similar results in the case of high-dimensional partitions have been obtained. The counting problems have been solved in theory and further assumptions have been made. |
| |
| Keywords: | partition Conjugate Shape plane partition Row sum vector Col-umn sum vector Generating function |
| 本文献已被 CNKI 等数据库收录！ |
