E. Mphako-Banda

activity

20172025

most citedOn Derivative Euler Phi Function Set-Graphs

1 citations · 1 across the 4 of their papers we have counts for

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math.CO2025

A note on the $k$ -defect number: Vertex Coloring with a Fixed Number of Monochromatic Edges

Eunice Mphako-Banda, Christo Kriel, Alex Alochukwu

In this paper, we introduce and study a novel graph parameter called the $k$ -defect number, denoted $ϕ_{k} (G)$ , for a graph $G$ and an integer $0 \leq k \leq ∣ E (G) ∣$ . Unlike traditio…

math.CO2025

Iteration of the mincut graph operator

Christo Kriel, Eunice Mphako-Banda

A graph operator is a mapping $ϕ$ which maps every graph $G$ from some class of graphs to a new graph $ϕ (G)$ . In this paper, we introduce and study the properties of the mincut ope…

A note on the k-defect number: Vertex Coloring with a Fixed Number of Monochromatic Edges

Iteration of the mincut graph operator

A note on the $k$ -defect number: Vertex Coloring with a Fixed Number of Monochromatic Edges