English

Maxima of the signless Laplacian spectral radius for planar graphs

Combinatorics 2014-07-22 v1

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 K2Pn2K_{2}\nabla P_{n-2} has the maximal signless Laplacian spectral radius among all planar graphs of order n456n\geq 456.

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Cite

@article{arxiv.1407.5170,
  title  = {Maxima of the signless Laplacian spectral radius for planar graphs},
  author = {Guanglong Yu},
  journal= {arXiv preprint arXiv:1407.5170},
  year   = {2014}
}