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On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree. | LitMetric
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On the least signless Laplacian eigenvalue of a non-bipartite connected graph with fixed maximum degree.

Shu-Guang Guo Rong Zhang

J Inequal Appl

School of Mathematics and Statistics, Yancheng Teachers University, Yancheng, Jiangsu 224002 P.R. China.

Published: May 2017

In this paper, we determine the unique graph whose least signless Laplacian eigenvalue attains the minimum among all non-bipartite unicyclic graphs of order with maximum degree Δ and among all non-bipartite connected graphs of order with maximum degree Δ, respectively.

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 Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC5440539PMC
http://dx.doi.org/10.1186/s13660-017-1395-yDOI Listing

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