4 problems

Refined asymptotic conjecture. Under further assumptions on the sequence $(\lambda(i))$, one can prove that

Let $r\in(0,1)$ and $\alpha\in(0,1/r-1)$. A regular, unit simplicial complex on $m$ vertices has constituent simplices that are regular and unit. Euclidean Steiner tree conjecture…

A regular simplicial complex is a simplicial complex embedded with regular simplices as its constituent simplices. Simplicial-complex efficiency conjecture. Regular simplicial comp…

Let $G$ be a graph with $m$ edges, and embed each edge by its characteristic vector, as in the Vertex Cover reduction discussed in the source. Consider the Euclidean Steiner tree o…