To do this in Gephi, create a new project. Then go to the data laboratory. At the top, enter all your nodes using the "Add Node" button. Then, enter all the edges using the Add Edge button. To label the edges, click on the "Edges" tab in the top bar of the data laboratory. There is a column called "Label". Double click in that column to label a relationship. Note that if you are using a directed graph and there is a mutual relationship (e.g. A knows B and B knows A), you need to enter the edge twice - once for A to B and again for B to A.
Create a visualization. Save the entire project as a Gephi file and submit it. Then, post your visualization image and a description of your criteria to the discussion board. Comment on any difficulties you had in making your decisions. Then comment on at least two other posts. These must be substantial comments. Look to see if people were consistent in their choices and applications of the criteria.