The bijection between plane partitions and nonnegative integer matrices
β Scribed by A. A. Jucys
- Book ID
- 105537338
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 313 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0363-1672
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The convex cone of n Γ n completely positive (CP) matrices and its dual cone of copositive matrices arise in several areas of applied mathematics, including optimization. Every CP matrix is doubly nonnegative (DNN), i.e., positive semidefinite and component-wise nonnegative, and it is known that, fo
We prove that the number of cyclically symmetric, self-complementary plane partitions contained in a cube of side 2n equals the square of the number of totally symmetric, self-complementary plane partitions contained in the same cube, without explicitly evaluating either of these numbers. This appea
Let ~I2(R, S) be the class of all (0, l, 2)-matrices with a prescribed row sum vector R and column sum vector S. A (0, 1,2)-matrix in N2(R,S) is defined to be parsimonious provided no (0, 1,2)-matrix with the same row and column sum vectors has fewer positive entries. In a parsimonious (0, 1,2)-matr