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arXiv · 1208.3965

The least eigenvalues of signless Laplacian of non-bipartite graphs with pendant vertices

Yi-Zheng Fan·Yi Wang·Huan Guo
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Abstract

In this paper we determine the graph whose least eigenvalue of signless Laplacian attains the minimum or maximum among all connected non-bipartite graphs of fixed order and given number of pendant vertices. Thus we obtain a lower bound and an upper bound for the least eigenvalue of signless Laplacian of a graph in terms of the number of pendent vertices.

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Yi-Zheng Fan, Yi Wang, Huan Guo. 2012-08-20. The least eigenvalues of signless Laplacian of non-bipartite graphs with pendant vertices. https://doi.org/10.1016/j.disc.2013.01.002

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