Authors identify the extremal simplicial complex for maximum signless Laplacian spectral radius without holes, bound it via Betti numbers, and derive Turán number bounds for hypergraphs and complexes using Alexander dual techniques.
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Signless Laplacian spectral radius of simplicial complexes without holes
Authors identify the extremal simplicial complex for maximum signless Laplacian spectral radius without holes, bound it via Betti numbers, and derive Turán number bounds for hypergraphs and complexes using Alexander dual techniques.