Ky Fan majorization holds for the sum of two n-fold tensor products of PSD operators, but fails for three or more such summands when n≥3.
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Proves the distance-Laplacian analog of Brouwer's conjecture for diameter-bounded graphs with n large, all but two diameter-2 graphs, and graphs with Δ = n-k for n ≥ N(k).
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A majorization relation for a sum of two tensor products of positive semidefinite operators
Ky Fan majorization holds for the sum of two n-fold tensor products of PSD operators, but fails for three or more such summands when n≥3.
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On a distance Laplacian analog of Brouwer's conjecture for several classes of graphs
Proves the distance-Laplacian analog of Brouwer's conjecture for diameter-bounded graphs with n large, all but two diameter-2 graphs, and graphs with Δ = n-k for n ≥ N(k).