On a conjecture of Laplacian energy of trees

Hilal A. Ganiea, Bilal A. Rather, S. Pirzada

Let $G$ be a simple graph with $n$ vertices, $m$ edges having Laplacian eigenvalues ${\mu }_1,{\mu }_2,\dots ,{\mu }_{n-1},{\mu }_n=0$. The Laplacian energy $LE(G)$ is defined as $LE(G)=\sum_{i=1}^{…