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 $\ddot{I}{•}_k(G)$, for a graph $G$ and an integer $0\le k\le |E(G)|$. Unlike traditi…