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Pirzada","submitted_at":"2013-10-12T17:10:55Z","abstract_excerpt":"For a graph with $n$ vertices and $m$ edges, having Laplacian spectrum $\\mu_1, \\mu_2, \\cdots,\\mu_n$ and signless Laplacian spectrum $\\mu^+_1,\\mu^+_2, \\cdots,\\mu^+_n$, the Laplacian energy and signless Laplacian energy of $G$ are respectively, defined as $LE(G)=\\sum_{i=1}^{n}|\\mu_i-\\frac{2m}{n}|$ and $LE^+(G)=\\sum_{i=1}^{n}|\\mu^+_i-\\frac{2m}{n}|$. Two graphs $G_1$ and $G_2$ of same order are said to be $L$-equienergetic if $LE(G_1)=LE(G_2)$ and $Q$-equienergetic if $LE^{+}(G_1)=LE^{+}(G_2)$. 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