2 problems

Irreducibility characterization conjecture. A nonnegative tensor $\mathbb{A}$ is primitive if and only if $\mathbb{A}$ is irreducible and there exists some $j\in[n]$ such that…

Let $\mathbb {A}$ be a nonnegative primitive tensor of fixed order $m$ and dimension $n$, and let $\gamma (\mathbb {A})$ denote its primitive degree. Primitive-degree polynomial bo…