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On the spectral radius of non-starlike trees with given number of pendent vertices[J]. Journal of South China Normal University (Natural Science Edition), 2011, (3).
Citation: On the spectral radius of non-starlike trees with given number of pendent vertices[J]. Journal of South China Normal University (Natural Science Edition), 2011, (3).

On the spectral radius of non-starlike trees with given number of pendent vertices

  • Let \mathscrT_n,k denote the set of all non-starlike trees with n vertices and exactly k pendent vertices. By comparing the characteristic polynomials of graphs,the tree with maximal spectral radius among \mathscrT_n,k is determined.
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