ON THE LAPLACIAN SPECTRAL RADII OF TREES WITH NEARLY PERFECT MATCHINGS

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Let T_(2k+1) be the set of trees on 2k+1 vertices with nearly perfect matchings, and let S_(2k+2) be the set of trees on 2k+2 vertices with perfect matchings. The largest Laplacian spectral radii of trees in T_(2k+1) and S_(2k+2) and the corresponding trees were given by Guo (2003). In this paper, the authors determine the second to the sixth largest Laplacian spectral radii among all trees in T_(2k+1) and give the corresponding trees.
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