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A note on perron vectors for almost regular tournament matrices

✍ Scribed by Steve Kirkland

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 340 KB
Volume: 266
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(96)00628-3

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✦ Synopsis

Let T be an almost regular tournament matrix of order n with right perron vector IL'. We show that if the ith row sum of T is (n -2)/2 and the jth row sum is n/2, then w, < u,,. Thus in the round robin competition corresponding to T, the ranking schemes of Kendall and Wei and of Kamanujacharyula agree with the ranking generated bv the row sums of T.

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