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On the Laplacian spectral ratio of connected graphs

✍ Scribed by Zhifu You; Bolian Liu


Book ID
116217478
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
217 KB
Volume
25
Category
Article
ISSN
0893-9659

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The Laplacian spectral radius of graphs
✍ Liang Lin πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 89 KB

Let G be an n-vertex (n 3) simple graph embeddable on a surface of Euler genus Ξ³ (the number of crosscaps plus twice the number of handles). Denote by the maximum degree of G. In this paper, we first present two upper bounds on the Laplacian spectral radius of G as follows: (i) (ii) If G is 4-conn