Minimum Pendant Dominating Energy Based on Maximum Degree of a Graph

Nataraj K

doi:10.52783/pmj.v35.i4s.5544

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Published: Mar 25, 2025

DOI: https://doi.org/10.52783/pmj.v35.i4s.5544

Keywords:

Minimum Pendant Dominating Set, Minimum Pendant Dominating Maximum Degree Matrix, Its Eigenvalues, and the Corresponding Energy of a Graph

Nataraj K, Puttaswamy, Purushothama S

Abstract

In this research paper, we introduce the concept of the Minimum Pendant Dominating Maximum Degree Energy of a graph, denoted by and compute its value for various standard graphs including the complete graph, complete bipartite graph, star graph, bi-star graph, and barbell graph. Additionally, we establish theoretical upper and lower bounds for the Minimum Pendant Dominating Maximum Degree Energy of a graph.

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Vol. 35 No. 4s (2025)

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