2 problems

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Conjecture on the α-spectral radius of hypertrees in NC(m,d)
The $NC(m,d)$ extremal conjecture. For $G\in NC(m,d)$ ,
Conjectureopenalpha-spectral-radius hypertrees spectral-hypergraph-theoryarXiv posted 2 days ago
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Nikiforov–Rojo edge-grafting conjecture for the α-spectral radius
Nikiforov–Rojo's edge-grafting conjecture. If $q\geq1$ and $p\geq q+2$ , then
Conjectureopenalpha-spectral-radius edge-grafting spectral-graph-theoryarXiv posted 2 days ago

Conjecture on the α-spectral radius of hypertrees in NC(m,d)