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- W2910558172 abstract "A signed magic rectangle $SMR(m,n;r, s)$ is an $m times n$ array with entries from $X$, where $X={0,pm1,pm2,ldots, $ $pm (ms-1)/2}$ if $mr$ is odd and $X = {pm1,pm2,ldots,pm mr/2}$ if $mr$ is even, such that precisely $r$ cells in every row and $s$ cells in every column are filled, every integer from set $X$ appears exactly once in the array and the sum of each row and of each column is zero. In this paper we prove that a signed magic rectangle $SMR(m,n;r, 2)$ exists if and only if either $m=2$ and $n=requiv 0,3 pmod 4$ or $m,rgeq 3$ and $mr=2n$." @default.
- W2910558172 created "2019-01-25" @default.
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- W2910558172 date "2019-01-16" @default.
- W2910558172 modified "2023-09-27" @default.
- W2910558172 title "Signed magic rectangles with two filled cells in each column" @default.
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