Plane partitions may be classified by how symmetric they are. Many symmetric classes of plane partitions are enumerated by simple product formulas. Generating function of plane... · Special plane partitions |
| Plane partition |  |
В математике и особенно в комбинаторике плоское разбиение — это двумерный массив целых неотрицательных чисел, не возрастающий по обоим индексам. Это значит, что
и для всех i и j.
Более того, только конечное число из них может быть отличным от... Википедия (Английский язык)
1. Thus, e.g., T,,(n) is equal to the number of plane partitions of n with ≤r rows and trace t. Every plane partition n has six conjugates (called aspects by ... |
26 сент. 2020 г. · Nowadays, plane partitions are connected to many different areas within combinatorics, as well as to the theory of symmetric functions, ... |
A plane partition, π , of a positive integer n , is a partition of n in which the parts have been arranged in a 2-dimensional array that is weakly ... |
In this paper, we consider complete homogeneous symmetric functions and provide a new formula for the number of plane partitions of n. |
It is possible to enumerate various classes of plane partitions by actual construction. One of the results is a simple proof of MacMahon's [12] generating ... |
Return whether self is a cyclically symmetric plane partition. A plane partition is cyclically symmetric if its x, y, and z tableaux are all equal. |
Theorem 1. The number of plane partitions of m equals the number of n-color partitions of m. We also note that the set of plane partitions with strict decrease ... |
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