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On the spectrum of the normalized Laplacian for signed graphs: Interlacing, contraction, and replication

✍ Scribed by Atay, Fatihcan M.; Tunçel, Hande


Book ID
123411471
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
290 KB
Volume
442
Category
Article
ISSN
0024-3795

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On the conjecture for certain Laplacian
✍ Kinkar Ch. Das; Sang-Gu Lee; Gi-Sang Cheon 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 184 KB 👁 1 views

## 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