Maxima of the $Q$ -index for outer-planar graphs

preprint2014arXivOpen access

The $Q$ - $index$ of graph $G$ is the largest eigenvalue $q(G)$ of its signless Laplacian $Q(G)$ . In this paper, we prove that the graph $K_{1}\nabla P_{n-1}$ has the maximal $Q$ -index among all outer-planar graphs of order $n$ .

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Maxima of the $Q$ -index for outer-planar graphs

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Maxima of the QQQ-index for outer-planar graphs

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Maxima of the $Q$ -index for outer-planar graphs