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On the second largest Laplacian eigenvalues of graphs

✍ Scribed by Li, Jianxi; Guo, Ji-Ming; Shiu, Wai Chee

Book ID: 122865024
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 412 KB
Volume: 438
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.10.047

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In this paper all connected line graphs whose second largest eigenvalue does not exceed 1 are characterized. Besides, all minimal line graphs with second largest eigenvalue greater than 1 are determined.