TY - JOUR
T1 - Multiplicities of distance Laplacian eigenvalues and forbidden subgraphs
AU - Fernandes, Rosário
AU - de Freitas, Maria Aguieiras A.
AU - Silva, Celso M. da
AU - Del-Vecchio, Renata R.
N1 - info:eu-repo/grantAgreement/FCT/5876/147204/PT#
This work was partially supported by National Counsel of Technological and Scientific Development (CNPq-Conselho Nacional de Desenvolvimento Cientifico e Tecnologico) and FAPERJ (Fundacao de Amparo a Pesquisa do Estado do Rio de Janeiro).
This work was partially supported by National Counsel of Technological and Scientific Development (CNPq-Conselho Nacional de Desenvolvimento Cientifico e Tecnologico).
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PY - 2018/3/15
Y1 - 2018/3/15
N2 - In this work, the graphs of order n having the second distance Laplacian eigenvalue of multiplicity n−2 are determined. Besides that, this result also characterizes the graphs where the multiplicity of some distance Laplacian eigenvalue is equal to n−2. In addition, all connected graphs of order n where the largest eigenvalue of the distance Laplacian matrix has multiplicity n−3 are determined. Finally, we determine some graphs with a distance Laplacian eigenvalue having multiplicity n−3.
AB - In this work, the graphs of order n having the second distance Laplacian eigenvalue of multiplicity n−2 are determined. Besides that, this result also characterizes the graphs where the multiplicity of some distance Laplacian eigenvalue is equal to n−2. In addition, all connected graphs of order n where the largest eigenvalue of the distance Laplacian matrix has multiplicity n−3 are determined. Finally, we determine some graphs with a distance Laplacian eigenvalue having multiplicity n−3.
KW - Distance Laplacian matrix
KW - Laplacian matrix
KW - Multiplicity of eigenvalues
UR - http://www.scopus.com/inward/record.url?scp=85037532398&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2017.11.031
DO - 10.1016/j.laa.2017.11.031
M3 - Article
AN - SCOPUS:85037532398
SN - 0024-3795
VL - 541
SP - 81
EP - 93
JO - Linear Algebra and its Applications
JF - Linear Algebra and its Applications
ER -