This document discusses chemical structures and their relationships. It proposes that chemical structures can be understood as consisting of three ontological categories: (1) the chemical entity as a material object, (2) the chemical graph description as an information object that represents the structure, and (3) the connectivity as a mathematical object that the graph describes. The graph is about the connectivity, which depends on chemical feasibility rather than the existence of real molecules. This approach can account for the relationships between real and predicted chemical structures.