Laplacian energy of trees with at most 10 vertices

Masood Ur Rehman, Muhammad Ajmal, Tayyab Kamran

Abstract


Let Tn be the set of all trees with n ≤ 10 vertices. We show that the Laplacian energy of any tree Tn is strictly between the Laplacian energy of the path Pn and the star Sn, the authors partially proving that the conjecture hold for any tree Tn, where n ≤ 10.


Keywords


Tree; Laplacian energy

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References


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DOI: http://dx.doi.org/10.19184/ijc.2018.2.1.3

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