432 citations · 1k across the 5 of their papers we have counts for
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math.AC2002★ 366 cited
Symmetry groups, semidefinite programs, and sums of squares
Karin Gatermann, Pablo A. Parrilo
We investigate the representation of symmetric polynomials as a sum of squares. Since this task is solved using semidefinite programming tools we explore the geometric, algebraic,…
math.AG2002★ 10 cited
A geometric inequality for circle packings
Pablo A. Parrilo, Ronen Peretz
A geometric inequality among three triangles, originating in circle packing problems, is introduced. In order to prove it, we reduce the original formulation to the nonnegativity o…