On the second largest eigenvalue of the signless Laplacian

Details On the second largest eigenvalue of the signless Laplacian On the second largest eigenvalue of the signless Laplacian

2012-02-05

arxiv.org/abs/1202.0964v1

Mathematics

Spectral Theory

11 pages. Submitted to be published

Scientific paper

Let $G$ be a graph of order $n,$ and let $q_{1}(G) \geq ...\geq q_{n}(G) $ be the eigenvalues of the $Q$-matrix of $G$, also known as the signless Laplacian of $G.$ In this paper we give a necessary and sufficient condition for the equality $q_{k}(G) =n-2,$ where $1

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