The blowup-polynomial of a metric space: connections to stable polynomials, graphs and their distance spectra

Graph polynomials (05C31) Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Real polynomials: location of zeros (26C10) Distance in graphs (05C12) Geometric embeddings of metric spaces (30L05)

Cites Work

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Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products
A criterion for the half-plane property
Distance matrix polynomials of trees
Blow-up lemma
Homogeneous multivariate polynomials with the half-plane property
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