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Some Remarks on the Fučı́k Spectrum of the p-Laplacian and Critical Groups

✍ Scribed by Norman Dancer; Kanishka Perera


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
133 KB
Volume
254
Category
Article
ISSN
0022-247X

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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