Ordering trees by the Laplacian coefficients

Xiao-Dong Zhang,Xia-Ping Lv,Ya-Hong Chen

doi:10.1016/j.laa.2009.04.018

Ordering trees by the Laplacian coefficients

Xiao-Dong Zhang, Xia-Ping Lv + Show 1 more

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https://doi.org/10.1016/j.laa.2009.04.018

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Journal: Linear Algebra and Its Applications	Publication Date: May 23, 2009
Citations: 27	License type: publisher-specific-oa

Affiliation: Shanghai Jiao Tong University, Lishui University

#Laplacian Coefficients #Partial Ordering

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Abstract

Motivated by a Mohar’s paper proposing “how to order trees by the Laplacian coefficients”, we investigate a partial ordering of trees with diameters 3 and 4 by the Laplacian coefficients. These results are used to determine several orderings of trees by the Laplacian coefficients.

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