Minimum Equitable Eccentric Dominating Energy of
Graphs

Riyaz Ur Rehman A; A Mohamed Ismayil

doi:https://doi.org/10.14445/22315373/IJMTT-V69I7P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 7 | Year 2023 | Article Id. IJMTT-V69I7P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I7P502

Minimum Equitable Eccentric Dominating Energy of Graphs

Riyaz Ur Rehman A, A Mohamed Ismayil

Received	Revised	Accepted	Published
28 May 2023	01 Jul 2023	14 Jul 2023	31 Jul 2023

Abstract

For a graph 𝐺 = (𝑉, 𝐸), the minimum equitable eccentric dominating energy 𝕄𝑒𝑞𝑒𝑑(𝐺) is the sum of the eigen values obtained from the minimum equitable eccentric dominating 𝑛 × 𝑛 matrix 𝕄𝑒𝑞𝑒𝑑(𝐺) = (𝑚𝑖𝑗). In this paper, 𝕄𝑒𝑞𝑒𝑑(𝐺) of standard graphs are computed. Properties, upper and lower bounds for 𝕄𝑒𝑞𝑒𝑑(𝐺) are established.

Keywords

Equitable eccentric dominating eigen values, Minimum equitable eccentric dominating set, Minimum equitable eccentric dominating energy.

References

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Citation :

Riyaz Ur Rehman A, A Mohamed Ismayil, "Minimum Equitable Eccentric Dominating Energy of Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 7, pp. 8-16, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I7P502