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- W2790028237 abstract "Let F be a family of sets in R d . A set M ⊂ R d is called F - convex if for any pair of distinct points x , y ∈ M , there is a set F ∈ F such that x , y ∈ F and F ⊂ M . A family F of compact sets is called complete if F contains all compact F -convex sets. Generalizing the definition in Yuan and Zamfirescu (2016), a compact set K will be called selfish , if the family F K of all sets similar to K contains all compact F K -convex sets. In this paper, we investigate the selfishness of rectangles, isosceles triangles, regular n -gons, and some finite sets." @default.
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- W2790028237 date "2019-08-01" @default.
- W2790028237 modified "2023-09-23" @default.
- W2790028237 title "Selfishness of convex bodies and discrete point sets" @default.
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- W2790028237 doi "https://doi.org/10.1016/j.ejc.2018.02.012" @default.
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