Repeated leaf attachment at a fixed vertex produces convergence of λ_max(R_T) to a local-data limit with explicit first-order asymptotic λ_k = λ_∞ + α/(d+k) + O(1/(d+k)^2) and eventual monotonicity when α ≠ 0.
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Spectral Monotonicity under Leaf Attachment and Limiting Behavior in Discrete Einstein Trees
Repeated leaf attachment at a fixed vertex produces convergence of λ_max(R_T) to a local-data limit with explicit first-order asymptotic λ_k = λ_∞ + α/(d+k) + O(1/(d+k)^2) and eventual monotonicity when α ≠ 0.