3 problems

Gupta's co-density conjecture. For every multigraph $G$,

Edge cover polynomial zero-bound conjecture. All complex zeros of $\mathcal E(G,z)$ lie in the open disk

Let $G$ be a multigraph, with minimum degree $\delta(G)$ and maximum edge multiplicity $\mu(G)$. Suppose that $\delta(G)$ cannot be expressed in the form … for any integers $p$ and…