Eigenvalues and parity factors in graphs

Donggyu Kim, Suil O

Let $G$ be a graph and let $g,f$ be nonnegative integer-valued functions defined on $V(G)$ such that $g(v)\le f(v)$ and $g(v)\equiv f(v)(\mathrm{mod}2)$ for all $v\in V(G)$. A $(g,f)…