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- W2983006918 abstract "It is known that the cop number $c(G)$ of a connected graph $G$ can be bounded as a function of the genus of the graph $g(G)$. The best known bound, that $c(G) leq leftlfloor frac{3 g(G)}{2}rightrfloor + 3$, was given by Schroder, who conjectured that in fact $c(G) leq g(G) + 3$. We give the first improvement to Schroder's bound, showing that $c(G) leq frac{4g(G)}{3} + frac{10}{3}$." @default.
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- W2983006918 date "2019-11-05" @default.
- W2983006918 modified "2023-09-27" @default.
- W2983006918 title "Bounding the cop number of a graph by its genus" @default.
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