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18 April 2024

» arxiv » 1208.3965

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The least eigenvalues of signless Laplacian of non-bipartite graphs with pendant vertices
Yi-Zheng Fan ; Yi Wang ; Huan Guo ;
Date:	20 Aug 2012
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.
Source:	arXiv, 1208.3965
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