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arXiv · 1407.5170

Maxima of the signless Laplacian spectral radius for planar graphs

Guanglong Yu
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Abstract

The signless Laplacian spectral radius of a graph is the largest eigenvalue of its signless Laplacian. In this paper, we prove that the graph $K_{2}\nabla P_{n-2}$ has the maximal signless Laplacian spectral radius among all planar graphs of order $n\geq 456$.

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Guanglong Yu. 2014-07-19. Maxima of the signless Laplacian spectral radius for planar graphs. https://arxiv.org/abs/1407.5170

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