On limit points of Laplacian spectral radii of graphs |
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Authors: | Ji-Ming Guo |
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Institution: | Department of Applied Mathematics, China University of Petroleum, Shandong, Dongying 257061, China Department of Applied Mathematics, Tongji University, Shanghai 200092, China |
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Abstract: | The study of limit points of eigenvalues of adjacency matrices of graphs was initiated by Hoffman A.J. Hoffman, On limit points of spectral radii of non-negative symmetric integral matrices, in: Y. Alavi et al. (Eds.), Lecture Notes Math., vol. 303, Springer-Verlag, Berlin, Heidelberg, New York, 1972, pp. 165-172]. There he described all of the limit points of the largest eigenvalue of adjacency matrices of graphs that are no more than . In this paper, we investigate limit points of Laplacian spectral radii of graphs. The result is obtained: Let , β0=1 and be the largest positive root of |
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Keywords: | 05C50 |
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