Tricyclic graphs with exactly two main eigenvalues |
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Authors: | Xiaoxia Fan Yanfeng Luo Xing Gao |
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Institution: | 1283. Department of Mathematics, Lanzhou University, Tianshui Road South 222, Lanzhou, Gansu, 730000, China
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Abstract: | An eigenvalue of a graph G is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. Let G 0 be the graph obtained from G by deleting all pendant vertices and δ(G) the minimum degree of vertices of G. In this paper, all connected tricyclic graphs G with δ(G 0) ≥ 2 and exactly two main eigenvalues are determined. |
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