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Laplacian Eigenvalues and multisections

✍ Scribed by Charles Delorme


Book ID
104444533
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
214 KB
Volume
5
Category
Article
ISSN
1571-0653

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πŸ“œ SIMILAR VOLUMES


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✍ C. Delorme πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 222 KB

For a simple and non-directed graph, bounds on a weighted bisection are related to min and max laplacian eigenvalues, respectively. The purpose of this article is to extend this result to the multisection case where each partition among k has ΓΏxed size; both bounds rely on eigenvalues of a certain G

Graph Embeddings and Laplacian Eigenvalu
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✍ Qing-Ming Cheng; Hongcang Yang πŸ“‚ Article πŸ“… 2004 πŸ› Springer 🌐 English βš– 167 KB
Eigenvalues and the One-Dimensional p-La
✍ Ravi P. Agarwal; Haishen LΓΌ; Donal O'Regan πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 135 KB

We consider the boundary value problem Ο• p u + Ξ»F t u = 0, with p > 1, t ∈ 0 1 , u 0 = u 1 = 0, and with Ξ» > 0. The value of Ξ» is chosen so that the boundary value problem has a positive solution. In addition, we derive an explicit interval for Ξ» such that, for any Ξ» in this interval, the existence