A Study of Minimum Dominating Maximum Eccentricity Energy in Globe and Bistar Graphs

In this paper, we compute the minimum dominating maximum eccentricity energy of globe graphs, bistar graphs and several related graph families. The corresponding matrices along with their eigenvalues are obtained leading to explicit expressions for these energies. These energies are compared across the graph families to assess the effect of graph structure.

Bi-star Graph, Globe Graph, Maximum Eccentricity, Domination Energy.

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