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Singular Continuous Spectrum for the Laplacian on Certain Sparse Trees

✍ Scribed by Jonathan Breuer

Publisher
Springer
Year
2006
Tongue
English
Weight
148 KB
Volume
269
Category
Article
ISSN
0010-3616

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## Abstract Let __G__ be a simple graph of order __n__ with Laplacian spectrum {Ξ»~__n__~, Ξ»~__n__βˆ’1~, …, Ξ»~1~} where 0=Ξ»~__n__~≀λ~__n__βˆ’1~≀⋅≀λ~1~. If there exists a graph whose Laplacian spectrum is __S__={0, 1, …, __n__βˆ’1}, then we say that __S__ is Laplacian realizable. In 6, Fallat et al. posed