5 problems

Catalan graph determinant conjecture. The determinant satisfies

Let $G_n$ be an io-decomposable Riordan graph of the Bell type. The Pascal and Catalan graphs are … Here ${\rm diam}(G)$ denotes the graph diameter. Diameter extremality conjecture…

Let ${\cal A}_n$ be the adjacency matrix of a singular io-decomposable Riordan graph $G_n(g,zg)$ of the form specified in the preceding structural theorem, and let $B$ be the assoc…

Odd-coordinate kernel conjecture. Then

Let $CG_{2^k}$ be the relevant io-decomposable Riordan graph of the Bell type, and let $\operatorname{diam}(G)$ denote graph diameter. Diameter conjecture. … and there are no io-de…