A new multi-affine real-stable polynomial invariant is attached to finite metric spaces via blowups of their distance matrices, with graph-specialized results recovering the graph and characterizing complete multipartite graphs via stability.
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The blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra
A new multi-affine real-stable polynomial invariant is attached to finite metric spaces via blowups of their distance matrices, with graph-specialized results recovering the graph and characterizing complete multipartite graphs via stability.