Laplacian Sum-Eccentricity Energy of a Graph
نویسندگان
چکیده مقاله:
We introduce the Laplacian sum-eccentricity matrix LS_e} of a graph G, and its Laplacian sum-eccentricity energy LS_eE=sum_{i=1}^n |eta_i|, where eta_i=zeta_i-frac{2m}{n} and where zeta_1,zeta_2,ldots,zeta_n are the eigenvalues of LS_e}. Upper bounds for LS_eE are obtained. A graph is said to be twinenergetic if sum_{i=1}^n |eta_i|=sum_{i=1}^n |zeta_i|. Conditions for the existence of such graphs are established.
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عنوان ژورنال
دوره 2 شماره 2
صفحات 209- 219
تاریخ انتشار 2017-12-01
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