2 problems

Let $G$ be a graph, and let $\widetilde{\chi}_G^\mathbbm{1}(q,x)$ denote the polynomial introduced in the source for the linear form $\mathbbm{1}=(1,1,\ldots,1)$. Bajo et al.'s con…

Let $G$ be a finite tree, and let $\widetilde{\chi}_G^{\mathbf{1}}(q,x)$ denote the $q$-chromatic polynomial of $G$ with respect to the all-ones weight vector $\mathbf{1}$. Leading…