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Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions

✍ Scribed by Chan, Song Heng; Mao, Renrong


Book ID
122189694
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
348 KB
Volume
258
Category
Article
ISSN
0001-8708

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πŸ“œ SIMILAR VOLUMES


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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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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