5 problems

Let $Y(g,k)$ be a Young graph, and let $Z_m$ denote the equivalence class of cyclic Young graphs on $m$ nodes. Cyclic Young graph conjecture. For $t\ge 3$ and $n\ge 2$, the Young g…

Let $Y(g,k)$ denote a Young graph, and let $\operatorname{Classes}(x)$ denote the number of equivalence classes occurring among all $Y(g,k)$ with $g\le x$. Quadratic growth conject…

Let $d_1,d_2\in\mathbb{Z}^+$ and let $m$ satisfy the Grimm–Ballew procedure's conditions; let $g_1$ and $g_2$ be different bases obtained by that procedure for the same $d_1$,…

Let $Y(g,k)$ denote the Young graph associated with the base $g$ and multiplier $k$. $Y(14,3)$ family conjecture. For all $t\ge 2$ and $n\ge 2$, … This is an experimentally suggest…

Let $Y(g,k)$ denote the Young graph associated with the base $g$ and multiplier $k$. $Y(11,7)$ family conjecture. For all $n\ge 0$, the Young graphs … … are all isomorphic to…