2 problems

Let $\bbeta=(1,2,\ldots,\ell(\lambda),|\mu|,|\kappa|)$ define the $1\times(\ell(\lambda)+2)$ integer matrix … Here $\lambda$ is a partition with $\ell(\lambda)\geq 5$, $\mu$ and…

Let $D$ be odd or even, and let $\widetilde{\mathfrak{C}}_{D,coloured}$ be the set of labelled loopless $D$-regular boundary graphs whose edges can be coloured with $D$ colours so…