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- W2786385417 abstract "Let an $ntimes n$ array $left( a_{ij}right) $ of lights be given, each either on (when $a_{ij}=1$) or off (when $a_{ij}=-1$). For each row and each column there is a switch so that if the switch is pulled ($x_{i}=-1$ for row $i$ and $y_{j}=-1$ for column $j$) all of the lights in that line are switched: on to off or off to on. The unbalancing lights problem (Gale-Berlekamp switching game) consists in maximizing the difference between the lights on and off. We obtain the exact parameters for a generalization of the unbalancing lights problem in higher dimensions." @default.
- W2786385417 created "2018-02-23" @default.
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- W2786385417 date "2018-01-28" @default.
- W2786385417 modified "2023-09-27" @default.
- W2786385417 title "A Gale-Berlekamp permutation-switching problem in higher dimensions" @default.
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