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

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

2009-05-13

arxiv.org/abs/0905.2118v2

Mathematics

Combinatorics

Scientific paper

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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