This analysis explores diachromatic numbers in lobster, fireworks, banana tree, and coconut tree digraphs, suggesting new insights into complete coloring strategies.
A vertex coloring that ensures every pair of different colors is represented at least once is termed complete coloring. The diachromatic number of an acyclic digraph denotes the maximum number of colors required for its complete coloring. This study delves into the diachromatic numbers of lobster digraphs, fireworks digraphs, banana tree digraphs, and coconut tree digraphs under specific and arbitrary directional orientations.
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Raventino et al. (2025) studied this question.
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