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On the second largest eigenvalue of the signless Laplacian
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lima, Leonardo Silva De Nikiforov, Vladimir |
| Copyright Year | 2014 |
| Abstract | Let G be a graph of order n; and let q1 (G) qn (G) be the eigenvalues of the Q-matrix of G, also known as the signless Laplacian of G: We give a necessary and su¢ cient condition for the equality qk (G) = n 2; where 1 < k n: In particular, this result solves an open problem raised by Wang, Belardo, Huang and Borovicanin. We also show that q2 (G) (G) and determine all graphs for which equality holds. Keywords: signless Laplacian; second largest eigenvalue; eigenvalue bounds. AMS classi cation: 05C50, 05C35 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://umdrive.memphis.edu/vnikifrv/public/pdfs/LiNi13.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | ABLEPHARON-MACROSTOMIA SYNDROME Cations Eigenvalue Graph - visual representation Largest VHDL-AMS arsenic cation |
| Content Type | Text |
| Resource Type | Article |
