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arxiv: 0905.2118 · v2 · submitted 2009-05-13 · 🧮 math.CO

A conjecture on square roots of Laplacian and signless Laplacian eigenvalues of graphs

classification 🧮 math.CO
keywords laplacianeigenvaluesrootssquareconjecturesignlessexceedgraph
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We conjecture that the sum of the square roots of the Laplacian eigenvalues of a graph does not exceed the sum of the square roots of its signless Laplacian eigenvalues.

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