Acyclic coloring

Acyclic coloring is a specific type of graph coloring used in graph theory. The goal of acyclic coloring is to color the vertices of a graph such that no two adjacent vertices share the same color and that the resulting subgraph formed by edges connecting vertices of the same color is acyclic (i.e., it contains no cycles). In more formal terms: - A **graph** is a collection of vertices connected by edges.