Bounds on the Minimum Edge Dominating Energy in Terms of Some Parameters of a Graph
نویسندگان
1 Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran
doi
10.22052/mir.2023.248452.1379چکیده
The minimum edge dominating energy, denoted by $EE_{F}(G)$, is the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of graph $G$. In this paper, we give some bounds and sharp bounds of $EE_{F}(G)$ in terms of matching number, the number of positive eigenvalues of the minimum edge dominating matrix, and the rank of $G$.
