3 problems

A ribbon graph is orientable if its associated ribbon surface is orientable, and its partial duality polynomial is the generating function that enumerates its partial duals by Eule…

Let $G$ be a ribbon graph, and let $~^{\partial}{\mathscr{E}}^{*}_{G}(z)$ denote its partial-$*$ polynomial. A polynomial is odd or even when all terms with nonzero coefficients ha…

Let $G$ be a non-orientable ribbon graph, and define its partial-dual Euler-genus polynomial by … A polynomial is interpolating when its non-zero coefficients are all equal to $1$.…