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Abstract
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Let be a graph with the vertices . The transmission of the vertex , denoted by , is defined as the sum of distances between and any other vertices in , i.e., . The Laplacian transmission matrix of is defined as , where is the adjacency matrix of . Let be eigenvalues of . Then the transmission version of Laplacian energy of is defined as . In this paper, we obtain some inequalities between and other invariants of like ordinary energy and Wiener and variable transmission Zagreb index.
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