2 problems

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Laplacian zero-eigenvalue multiplicity conjecture for connected uniform hypergraphs
Let $H$ be a connected $k$ -uniform hypergraph, let $\mathcal{L}(H)$ be its Laplacian tensor, let $\mathcal{A}(H)$ be its adjacency tensor, and let $rho$ be the spectral radius of…
Conjectureopenlaplacian-tensors tensor-eigenvalues uniform-hypergraphsarXiv posted 2 days ago
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The strict inequality between the largest Laplacian H-eigenvalue and spectral radius
Strict inequality conjecture.
Conjectureopenlaplacian-tensors spectral-hypergraph-theoryarXiv posted 2 days ago

Laplacian zero-eigenvalue multiplicity conjecture for connected uniform hypergraphs