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Abstract
Let Tn be the set of trees with n vertices and having diameter 4. We show that four classes in Tn satisfy a conjecture posed by Radenkovi and Gutman [Total π-electron energy and Laplacian energy: how far the analogy goes? J. Serb. Chem. Soc., 72:12:1343–1350, 2007]. The conjecture relates the Laplacian energy of path Pn , tree Tn , and star Sn .
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