Here is some information about the 11 graphs on 4 vertices, keyed to the graph reference numbers employed by Peter Steinbach in his "Field Guide to Simple Graphs". The vertices in each graph are labelled from 1 to 4. Each line of the file corresponds to a graph, and contains the following information: (1) Steinbach's reference number for the graph. (2) The degree sequence of the graph as a string of 4 digits, with the degree of vertex 4 first, then the degree of vertex 3, and so on down to the degree of vertex 1. (3) The edge set of the graph, with each edge listed as the pair of digits corresponding to its two vertices. Graph 1: | Degree Sequence is 0000 | (no edges) Graph 2: | Degree Sequence is 0011 | Edge 12 Graph 3: | Degree Sequence is 0112 | Edges 12 13 Graph 4: | Degree Sequence is 1111 | Edges 12 34 Graph 5: | Degree Sequence is 0222 | Edges 12 13 23 Graph 6: | Degree Sequence is 1122 | Edges 12 13 24 Graph 7: | Degree Sequence is 1113 | Edges 12 13 14 Graph 8: | Degree Sequence is 2222 | Edges 12 13 24 34 Graph 9: | Degree Sequence is 1223 | Edges 12 13 14 23 Graph 10: | Degree Sequence is 2233 | Edges 12 13 14 23 24 Graph 11: | Degree Sequence is 3333 | Edges 12 13 14 23 24 34