A graph for directional selection is a directed graph that represents the allelic frequencies in a population over time. It depicts the directional change in allele frequencies due to natural selection, with arrows indicating the direction of change. Each vertex in the graph represents an allele, while a directed edge between two vertices indicates a gradual increase or decrease in the frequency of the allele over time. The graph provides a graphical representation of the evolutionary dynamics of the population, showing how allelic frequencies shift under the influence of directional selection.