Geodesic
The Minimum Edge Covering Energy of a Graph
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 6, p. 969 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, we introduce a new kind of graph energy, the minimum edge covering energy, $ E_{C_E}(G) $. It depends both on the underlying graph $ G $, and on its particular minimum edge covering $ C_E $. Upper and lower bounds for $ E_{C_E}(G) $ are established. The minimum edge covering energy and some of the coefficients of the polynomial of well-known families of graphs like Star, Path and Cycle Graphs are computed.
Classification : 05C50
Keywords: minimum edge covering set, minimum edge covering matrix, graph energy, minimum edge covering eigenvalues 
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     title = {The {Minimum} {Edge} {Covering} {Energy} of a {Graph}},
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Samira Sabeti; Akram Banihashemi Dehkordi; Saeed Mohammadian Semnani. The Minimum Edge Covering Energy of a Graph. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 6, p. 969 . http://geodesic.mathdoc.fr/item/KJM_2021_45_6_a9/