TY - JOUR

T1 - Divisors of the number of Latin rectangles

AU - Stones, Douglas Stuart

AU - Wanless, Ian Murray

PY - 2010

Y1 - 2010

N2 - A k x n Latin rectangle on the symbols (1,2, ...,n) is called reduced if the first row is (1, 2, ..., n) and the first column is (1,2, ...,k)(T). Let R-k,R-n be the number of reduced k x n Latin rectangles and m = left perpendicularn/2right perpendicular. We prove several results giving divisors of R-k,R-n. For example, (k - 1) divides R-k,R-n when k

AB - A k x n Latin rectangle on the symbols (1,2, ...,n) is called reduced if the first row is (1, 2, ..., n) and the first column is (1,2, ...,k)(T). Let R-k,R-n be the number of reduced k x n Latin rectangles and m = left perpendicularn/2right perpendicular. We prove several results giving divisors of R-k,R-n. For example, (k - 1) divides R-k,R-n when k

UR - http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WHS-4WD6XRR-1-1&_cdi=6858&_user=542840&_pii=S0097316509000855&_orig=search&_coverDate=02%2F2

M3 - Article

VL - 117

SP - 204

EP - 215

JO - Journal of Combinatorial Theory - Series A

JF - Journal of Combinatorial Theory - Series A

SN - 0097-3165

ER -