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On the Eigenvalues of General Sum-Connectivity Laplacian Matrix

✍ Scribed by Deng, Hanyuan; Huang, He; Zhang, Jie


Book ID
121621707
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
454 KB
Volume
1
Category
Article
ISSN
2194-668X

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We study the behavior of the eigenvalues of the Laplacian acting on functions when one side of a connected sum of two closed Riemannian manifolds collapses to a point. We prove that the eigenvalues converge to those of the limit space, by using the method of AnnΓ© and Colbois. From this, we obtain a