ON THE LAPLACIAN SPECTRAL RADII OF TREES WITH NEARLY PERFECT MATCHINGS
ON THE LAPLACIAN SPECTRAL RADII OF TREES WITH NEARLY PERFECT MATCHINGS
摘要
Let :T2k+1 be the set of trees on 2k+ 1 vertices with nearly perfect matchings, and let S2k+2 be the set of trees on 2k + 2 vertices with perfect matchings. The largest Laplacian spectral radii of trees in :T2k+l and S2k+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 T2k+1 and give the corresponding trees.
基金
supported by the National Natural Science Foundation of China under Grant No. 10331020.
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