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Spectral properties of the Laplacian on bond-percolation graphs

✍ Scribed by Werner Kirsch; Peter Müller


Publisher
Springer-Verlag
Year
2006
Tongue
French
Weight
230 KB
Volume
252
Category
Article
ISSN
0025-5874

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The Laplacian spectral radius of graphs
✍ Liang Lin 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 89 KB

Let G be an n-vertex (n 3) simple graph embeddable on a surface of Euler genus γ (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