The distance matrix of caterpillar

This work presents a study about the distance matrix of a family of trees called caterpillar graphs. Our purpose is to determine the multiplicity of −2 as distance eigenvalue and the number of distinct distance eigenvalues of a caterpillar graph.

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Bibliographic Details
Published in:Discrete Applied Mathematics 2019-08, Vol.266, p.141-152
Main Authors: do Nascimento, Joice S., de Freitas, Maria Aguieiras A., Del-Vecchio, Renata R.
Format: Article
Language:English
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Description
Summary:This work presents a study about the distance matrix of a family of trees called caterpillar graphs. Our purpose is to determine the multiplicity of −2 as distance eigenvalue and the number of distinct distance eigenvalues of a caterpillar graph.
ISSN:0166-218X
1872-6771
DOI:10.1016/j.dam.2018.10.018