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On the spectrum of Laplacians on graphs

✍ Scribed by Bauer, Frank; Hua, Bobo; Keller, Matthias

Book ID: 121079540
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 249 KB
Volume: 248
Category: Article
ISSN: 0001-8708
DOI: 10.1016/j.aim.2013.05.029

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