Geodesic
The Minimum Edge Covering Energy of a Graph
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 6, p. 969

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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/