Largest eigenvalues of the discrete p-Laplacian of trees with degree sequences

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Küçük Resim

Tarih

2009-03

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Int Linear Algebra Soc

Erişim Hakkı

info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

Trees that have greatest maximum p-Laplacian eigenvalue among all trees with a given degree sequence are characterized. It is shown that such extremal trees can be obtained by breadth-first search where the vertex degrees are non-increasing. These trees are uniquely determined up to isomorphism. Moreover, their structure does not depend on p.

Açıklama

Anahtar Kelimeler

Degree sequence, Discrete p-laplacian, Eigenvector, Graph in graph theory, Graphs, Hyperbolicity, Hyperbolicity constant, Largest eigenvalue, Majorization, Regularization, Tree

Kaynak

Electronic Journal of Linear Algebra

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

18

Sayı

Künye

Bıyıkoǧlu, T., Hellmuth, M. & Leydold, J. (2009). Largest eigenvalues of the discrete p-laplacian of trees with degree sequences. Electronic Journal of Linear Algebra, 18, 202-210.