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Let U(n,k) be the set of unicyclic graphs with n vertices and k pendant vertices. In this paper, we determine the unique graph with the minimal least eigenvalue among all graphs in U(n,k). The work is related with that of Guo [S.G. Guo, The spectral radius of unicyclic and bicyclic graphs with n vertices and k pendant vertices, Linear Algebra Appl. 408 (2005) 78–85], which determined the unicyclic...
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