The problem was posed of determining the biclique partition number of the complement of a Hamiltonian path (Monson, Rees, and Pullman, Bull. Inst. Combinatorics and Appl. 14 (1995), 17-86). We define the complement of a path P , denoted P , as the complement of P in K m,n where P is a subgraph of K
The Ranks and Cranks of Partitions Moduli 2, 3, and 4
โ Scribed by George A Andrews; Richard Lewis
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 124 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
โฆ Synopsis
We discuss inequalities between the rank counts N(r, m, n) and between the crank counts M(r, m, n), for m=2, 3, and 4, and state three conjectures. 2000 Academic Press N(m, n)=N(&m, n) and N(r, m, n)=N(&r, m, n).
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