4 problems

Let $\mathcal{S}_4$ be the four-star graph, and let $\gamma(\mathcal{S}_4)$ denote its growth parameter. Transcendence conjecture for $\mathcal{S}_4$. The growth parameter…

A deposition process is a mixture of random deposition (RD) and ballistic deposition (BD), with a fixed positive amount of BD, and its block heights have light-tailed distributions…

Let $\mathcal{C}_n$ be the cyclic graph with $n$ vertices, and let $\gamma(\mathcal{C}_n)$ denote its growth parameter. Mansour–Rastegar–Roitershtein's conjecture. … This conjectur…

Ballistic deposition height-growth conjecture. With probability one, for all $j\in\mathbb N$,