| Function | Short Description | |
| GraphEntity | definition of a graph | |
| CheckGraphParameter | consistency check of (graph) parameters | |
| GraphToCanonicalForm | uniform format, multiweighted vertices and edges included | |
| GraphToListForm | conversion of graph from matrix to list form | |
| GraphToMatrixForm | conversion of graph from list to matrix form | |
| JoinGraphs | union of graphs | |
| CreateRandomGraph | create graph with random properties | |
| DrawGraph | plot graph |
This list is not complete. Additionally, each function has optional parameters. The number of such parameters varies from a few to 37 for CreateRandomGraph.
Example for the definition of a graph:

The conversion GraphToMatrixForm[gr] yields:

DrawGraph[gr, PlotRange -> {{0, 80}, {10, 70}}] generates:
