Apparently it is true that the second smallest eigenvalue of a complete binary tree is $\theta(\frac{1}{n})$. Can someone point out a reference which proves this?
2026-03-26 14:16:10.1774534570
The second smallest eigenvalue of a complete binary tree
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In Stephen Guattery and Gary L. Miller. On the Performance of Spectral Graph Partitioning Methods. CS CMU-CS-94-228 (Carnegie Mellon University Tech Report), this result is proved as Lemma 3.8.