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Eigenvectors and eigenvalues of non-regular graphs

✍ Scribed by Xiao-Dong Zhang

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
201 KB
Volume
409
Category
Article
ISSN
0024-3795

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## Abstract In this article, we obtain a sufficient condition for the existence of regular factors in a regular graph in terms of its third largest eigenvalue. We also determine all values of __k__ such that every __r__‐regular graph with the third largest eigenvalue at most has a __k__‐factor.