For odd diameters the maximizers are generalized almost seesaw spider trees with nearly equidistributed branch lengths, completing the classification for every diameter.
Stekloff,Sur les problèmes fondamentaux de la physique mathématique, Ann
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Maximizing the Steklov eigenvalues on trees with a diameter constraint
For odd diameters the maximizers are generalized almost seesaw spider trees with nearly equidistributed branch lengths, completing the classification for every diameter.