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New Results on the Minimum Edge Dominating Energy of a Graph

F. Movahedi,M. H. Akhbari

Journal of Mathematical Extension（2022）

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Abstract
Let G be a graph with n vertices and m edges. The minimum edge dominating energy is defined as the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of the graph G. In this paper, some lower and upper bounds for the minimum edge dominating energy of graph G are established.
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Key words
Minimum edge dominating energy, Eigenvalue, Adjacency matrix, Line graph
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