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Further results on the spectral radius of matrices and graphs

✍ Scribed by Hong, Wenxi; You, Lihua


Book ID
124114026
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
311 KB
Volume
239
Category
Article
ISSN
0096-3003

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This paper provides new upper bounds on the spectral radius \ (largest eigenvalue of the adjacency matrix) of graphs embeddable on a given compact surface. Our method is to bound the maximum rowsum in a polynomial of the adjacency matrix, using simple consequences of Euler's formula. Let # denote th