Lin–Zhou's distance spectral extremal conjecture
Lin–Zhou's conjecture. If 1⩽s⩽n−721\leqslant s\leqslant \frac{n-7}{2}1⩽s⩽2n−7 and G∈G(m)G\in\mathcal G(m)G∈G(m), then
The graft transformation conjecture for the distance spectral radius
Graft transformation conjecture. For s≥t≥2s\geq t\geq 2s≥t≥2,
Bose et al.'s maximum distance spectral radius conjecture for cacti
Bose et al.'s conjecture. The graph
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