Minimum Equitable Eccentric Dominating Energy of Graphs

Riyaz Ur Rehman A., A. Mohamed Ismayil ยท International Journal of Mathematics Trends and Technology ยท 2023

For a graph ๐บ = (๐‘‰, ๐ธ), the minimum equitable eccentric dominating energy ๐•„๐‘’๐‘ž๐‘’๐‘‘(๐บ) is the sum of the eigen values obtained from the minimum equitable eccentric dominating ๐‘› ร— ๐‘› matrix ๐•„๐‘’๐‘ž๐‘’๐‘‘(๐บ) = (๐‘š๐‘–๐‘—). In this paper, ๐•„๐‘’๐‘ž๐‘’๐‘‘(๐บ) of standard graphs are computed. Properties, upper and lower bounds for ๐•„๐‘’๐‘ž๐‘’๐‘‘(๐บ) are established.

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