37 citations · 193 across the 39 of their papers we have counts for
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math.AG2013★ 6 cited
Around multivariate Schmidt-Spitzer theorem
Per Alexandersson, Boris Shapiro
Given an arbitrary complex-valued infinite matrix A and a positive integer n we introduce a naturally associated polynomial basis B_A of C[x0...xn]. We discuss some properties of t…
math.AG2012★ 1 cited
Discriminants, symmetrized graph monomials, and sums of squares certificates
Per Alexandersson
Here we present certificates for 5 classes of 6-edged multigraphs whose symmetrized graph monomials may be represented as sum of squares, but not as linear combinations of partitio…
math.AG2011★ 4 cited
Discriminants, symmetrized graph monomials, and sums of squares
Per Alexandersson, Boris Shapiro
Motivated by the necessities of the invariant theory of binary forms J. J. Sylvester constructed in 1878 for each graph with possible multiple edges but without loops its symmetriz…