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-  2018 

Energy and Laplacian Energy-Like Invariant of Unicyclic Molecular Graphs | Insight Medical Publishing

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Abstract:

Let Un be the set of unicyclic molecular graphs with 3 ≤ n ≤ 8 vertices. We show that the cycle Cn has maximal Laplacian-energy-like invariant (LEL) in Un. The authors partially proving that the conjecture hold for any unicyclic molecular graph in Un, where 3 ≤ n ≤ 8 Moreover, we show that Cn has maximal energy (E) in Un for 3 ≤ n≤7, but for n=8 this is not true.

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