Geodesic
Maximum subsets of \((0,1]\) with no solutions to \(x+y = kz\)
The electronic journal of combinatorics, Tome 3 (1996) no. 1
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If $k$ is a positive real number, we say that a set $S$ of real numbers is $k$-sum-free if there do not exist $x,y,z$ in $S$ such that $x + y = kz$. For $k$ greater than or equal to 4 we find the essentially unique measurable $k$-sum-free subset of $(0,1]$ of maximum size.
DOI : 10.37236/1225
Classification : 05A99
Mots-clés : \(k\)-sum-free subset 
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     title = {Maximum subsets of \((0,1]\) with no solutions to \(x+y = kz\)},
     journal = {The electronic journal of combinatorics},
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     number = {1},
     doi = {10.37236/1225},
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Fan R. K. Chung; John L. Goldwasser. Maximum subsets of \((0,1]\) with no solutions to \(x+y = kz\). The electronic journal of combinatorics, Tome 3 (1996) no. 1. doi: 10.37236/1225

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