On the Functions with Values in $[\alpha(G), \overline \chi(G)]$
On the Functions with Values in $[\alpha(G), \overline \chi(G)]$
Let $$ {\cal B}(G) =\{X : X \in{\Bbb R}^{n \times n}, X=X^T, I \le X \le I+A(G)\} $$ and $$ {\cal C}(G) =\{X : X \in{\Bbb R}^{n \times n}, X=X^T, I-A(G) \le X \le I+A(G)\} $$ be classes of matrices associated with graph $G$. Here $n$ is the number of …