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- W3204189941 abstract "We investigate various pursuit-evasion parameters on latin square graphs, including the cop number, metric dimension, and localization number. The cop number of latin square graphs is studied, and for $k$-MOLS$(n),$ bounds for the cop number are given. If $n>(k+1)^2,$ then the cop number is shown to be $k+2.$ Lower and upper bounds are provided for the metric dimension and localization number of latin square graphs. The metric dimension of back-circulant latin squares shows that the lower bound is close to tight. Recent results on covers and partial transversals of latin squares provide the upper bound of $n+Oleft(frac{log{n}}{log{log{n}}}right)$ on the localization number of a latin square graph of order $n.$" @default.
- W3204189941 created "2021-10-11" @default.
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- W3204189941 date "2023-01-01" @default.
- W3204189941 modified "2023-09-27" @default.
- W3204189941 title "Pursuit-evasion games on Latin square graphs" @default.
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- W3204189941 doi "https://doi.org/10.4310/joc.2023.v14.n4.a4" @default.
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