✦ LIBER ✦

Extremal Permutations with Respect to Weak Majorizations

✍ Scribed by F.K. Hwang

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 245 KB
Volume: 17
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1996.0055

No coin nor oath required. For personal study only.

✦ Synopsis

Let Z ϭ ( z 1 , z 2 , . . . , z n ) denote a permutation of an n -set . Define

and its cyclic version

where f ( x , y ) increases in max ͕ x , y ͖ and decreases in min ͕ x , y ͖ . We give conditions on f such that extremal permutations with respect to weak majorization can be found . We then use the weak majorization property to obtain extremal permutations for

and

when g is either convex increasing or concave decreasing .

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