Partitioning a rectangle into small perimeter rectangles

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Partitioning a rectangle into small perimeter rectangles

Alon, N. and D.J. Kleitman, Partitioning a rectangle into small perimeter rectangles, Discrete Mathematics 103 (1992) 111-119. We show that the way to partition a unit square into kZ + s rectangles, for s = 1 or s = -1, so as to minimize the largest perimeter of the rectangles, is to have k 1 rows of k identical rectangles and one row of k + s identical rectangles, with all rectangles having th...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1992

ISSN: 0012-365X

DOI: 10.1016/0012-365x(92)90261-d