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Asymptotic results on the spectral radius and the diameter of graphs

✍ Scribed by Sebastian M. Cioabă; Edwin R. van Dam; Jack H. Koolen; Jae-Ho Lee

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
247 KB
Volume
432
Category
Article
ISSN
0024-3795

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✍ Mingqing Zhai; Ruifang Liu; Jinlong Shu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 123 KB

Let GB(n, d) be the set of bipartite graphs with order n and diam- eter d. This paper characterizes the extremal graph with the maximal spectral radius in GB(n, d). Furthermore, the maximal spectral radius is a decreasing function on d. At last, bipartite graphs with the second largest spectral radi