100 citations · 173 across the 23 of their papers we have counts for
23 papers
Veronese sections and interlacing matrices of polynomials and formal power series
Christos A. Athanasiadis, David G. Wagner
The concept of a fully interlacing matrix of formal power series with real coefficients is introduced. This concept extends and strengthens that of an interlacing sequence of real-…
On the imaginary parts of chromatic root
Jason I. Brown, David G. Wagner
While much attention has been directed to the maximum modulus and maximum real part of chromatic roots of graphs of order (that is, with vertices), relatively little is kno…
Highly symmetric matroids, the strong Rayleigh property, and sums of squares
Wenbo Gao, David G. Wagner
We investigate the strong Rayleigh property of matroids for which the basis enumerating polynomial is invariant under a Young subgroup of the symmetric group on the ground set. In…
Proof of the monotone column permanent conjecture
Petter Brändén, James Haglund, Mirkó Visontai +1
Let A be an n-by-n matrix of real numbers which are weakly decreasing down each column, Z_n = diag(z_1,..., z_n) a diagonal matrix of indeterminates, and J_n the n-by-n matrix of a…
Multivariate stable polynomials: theory and applications
David G. Wagner
Univariate polynomials with only real roots -- while special -- do occur often enough that their properties can lead to interesting conclusions in diverse areas. Due mainly to the…
The lattice of integer flows of a regular matroid
Yi Su, David G. Wagner
For a finite multigraph G, let Λ(G) denote the lattice of integer flows of G -- this is a finitely generated free abelian group with an integer-valued positive definite bilinear fo…