9 problems

Let $f_{\overline{G}_8}(z)$ be the irreducible internally completed graphical function in four dimensions associated with the graph $\overline{G}_8$, with all edges of weight $1$.…

Let $G$ be a graphical function for which the radial representation and Gegenbauer expansion are defined. Universal Gegenbauer expansion conjecture. The Gegenbauer expansion (gfr)…

Basso–Dixon fishnet determinant conjecture.

Let $G$ be a constructible graph in an even dimension $D\geq4$, and let $P_G$ be its associated period. The preceding reduction argument concerns the weight of graphical functions…

Let $G$ be a weighted graph whose graphical function $f_G(z)$ exists in dimension $D=2\lambda+2\geq3$. Let $\mathcal{S}\mathcal{V}_{\{0,1,\infty\}}$ denote the space of functions o…

Graphical-function asymptotic expansion conjecture. Whenever the right-hand side exists, the asymptotic expansion at $z=z_0$ is

Maximum-weight cell-zeta conjecture.

Single-valued graphical-function conjecture. For any graph $\Gamma$,

Two-dimensional cell-zeta conjecture. The maximum-weight piece of the periods of graphical functions in two dimensions reduces modulo products to the sum of two cell zeta values.