The setting is a finite set of points on the circumference of a circle, where all points are assigned non-negative real weights . Let be all subsets of with points and no two distinct points within a fixed distance . We prove that where . This is done by first extending a theorem by Chudnovsky and Seymour on roots of stable set polynomials of claw-free graphs.
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of points on the circumference of a circle, where all points are assigned non-negative real weights 
. Let 
be all subsets of 
points and no two distinct points within a fixed distance 
. We prove that 
where 
. This is done by first extending a theorem by Chudnovsky and Seymour on roots of stable set polynomials of claw-free graphs.
