5 problems

Rank-three transversal matroid conjecture. Every rank-$3$ transversal matroid has the half-plane property.

Multivariate Brown–Colbourn conjecture. If $|q_e|>1$ for all $e$, then

Rank-three transversal matroid conjecture. Every transversal matroid of rank $3$ has the half-plane property.

A quaternionic unimodular matroid is a matroid representable by a quaternionic unimodular matrix. A matroid has the half-plane property when its bases-generating polynomial is stab…

A matroid has the weak half-plane property when its set of bases agrees with the support of a stable polynomial. A relaxation of a matroid is obtained by relaxing a circuit-hyperpl…