2 problems

Let $G$ be a simple graph, and let $\delta(G)$ denote its minimum degree. The maximum nullity $\mathrm{M}(G)$ is the greatest nullity among matrices associated with $G$ in the maxi…

Let $v$ be an $n$-dimensional integral vector whose entries are all nonzero modulo $p$. Suppose that … Here $e$ denotes the all-one vector, and a vector generates a primitive matri…