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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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## 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