The document outlines the construction of conceptual models using entity-relationship (ER) diagrams for three types of graphs: directed graphs, hypergraphs, and multigraphs. It describes directed graphs as consisting of nodes with directed edges, hypergraphs as having nodes connected by hyperedges with multiple sources and a single target, and multigraphs featuring multiple undirected edges between the same pair of nodes. Each conceptual model requires a sample graph to illustrate its population.