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math.CO2003★ 32 cited
The Brown-Colbourn conjecture on zeros of reliability polynomials is false
Gordon Royle, Alan D. Sokal
We give counterexamples to the Brown-Colbourn conjecture on reliability polynomials, in both its univariate and multivariate forms. The multivariate Brown-Colbourn conjecture is fa…
math.CO2002
Homogeneous multivariate polynomials with the half-plane property
Young-Bin Choe, James G. Oxley, Alan D. Sokal +1
A polynomial P in n complex variables is said to have the "half-plane property" (or Hurwitz property) if it is nonvanishing whenever all the variables lie in the open right half-pl…