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A note on ranking functions

✍ Scribed by V Rödl; W.T Trotter

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 162 KB
Volume: 67
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(87)90180-4

No coin nor oath required. For personal study only.

✦ Synopsis

In this issue, W.J. Walker introduces the lattice L(n, r) as the set of all possible results when n competitors are matched in a series of r races. A result is an r-term nondecreasing sequence of integers selected from {1, 2 .... , n}. The dimension of L(n, r) is at most r since it is a subposet of R'. Walker conjectures that L(n, r) is in fact the intersection of r consistent linear

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