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Spectral radius of finite and infinite planar graphs and of graphs of bounded genus (extended abstract)

✍ Scribed by Zdeněk Dvořák; Bojan Mohar


Book ID
108120702
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
200 KB
Volume
34
Category
Article
ISSN
1571-0653

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📜 SIMILAR VOLUMES


Upper Bounds of the Spectral Radius of G
✍ Hong Yuan 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 149 KB

Let G be a simple graph with n vertices and orientable genus g and non-orientable genus h. Let \(G) be the spectral radius of the adjacency matrix A of G. We obtain the following sharp bounds of \(G): (1) \(G) 1+-3n+12g&8; (2) \(G) 1+-3n+6h&8.

On the Spectral Radius and the Genus of
✍ H. Yuan 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 205 KB

In this paper, we obtain a relation between the spectral radius and the genus of a graph. In particular, we give upper bounds on the spectral radius of graphs with \(n\) vertices and small genus. " " 1995 Academic Press. Ins

Spectral radius and Hamiltonicity of gra
✍ Miroslav Fiedler; Vladimir Nikiforov 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 91 KB

Let G be a graph of order n and μ(G) be the largest eigenvalue of its adjacency matrix. Let G be the complement of G. Write K n-1 + v for the complete graph on n -1 vertices together with an isolated vertex, and K n-1 + e for the complete graph on n -1 vertices with a pendent edge. We show that: