Conjectured relation between distinct d-degree sets (K-stat)
Establish that for the DSC model the set of distinct d-degrees at generation n satisfies K^{(d)}(n) = {0} ∪ K^{(0)}(n − d) for all integers n ≥ d + 1 and d ≥ 1.
References
is conjecturally valid for all $n \geq d + 1$ and $d \geq 1$.
— Deterministic simplicial complexes
(Dorogovtsev et al., 10 Jul 2025) in Section 2 (Unconstrained growth), Upper degrees; Eq. (K-stat)