The Laplacian Spectral Radius of Tree with Fixed Diameter
YAO Yanhong (1), FENG Lin(2), TAN Shangwang(2), GUO Jiming(2)
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(1)College of Mathematics and Statistics, Anyang Normal University, Anyang 455002;(2)College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061
A caterpillar is a tree in which the removal of all pendant vertices gives a path. This paper consider the Laplacian spectral radius of a Caterpillar with fixed diameter and determine the Caterpillar with the largest Laplacian spectral radius. Furthermore, several properties of Caterpillar are discussed.
YAO Yanhong
, FENG Lin
, TAN Shangwang
, GUO Jiming . , {{custom_author.name_en}}.
The Laplacian Spectral Radius of Tree with Fixed Diameter. Journal of Systems Science and Mathematical Sciences, 2010, 30(4): 449-457 https://doi.org/10.12341/jssms08960