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Weighted unrestricted Golomb rulers?

A set of integers ${\displaystyle A=\{a_{1},a_{2},...,a_{m}\}\quad a_{1}<a_{2}<...<a_{m}} $ is a Golomb ruler if and only if ${\displaystyle \forall i,j,k,l\in \left\{1,2,...,m\right\},a_{i}...
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3 votes
1 answer
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Bounding the size of certain sumsets in the plane

Let $A$ be a finite set in $\mathbb{R}^2$ of $k^2$ elements and consider a set $B=\{x_1,x_2,x_3,x_4\}$ such that the points in $B$ are in general position (no three points on a line). Question 1: Is ...
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