small graph, k=0 directed: false vcount: 5 edges: { 1 0 3 0 2 1 4 2 3 2 4 3 } null graph, k=0 directed: false vcount: 0 edges: { } null graph, k=1 directed: false vcount: 1 edges: { } null graph, k=3 directed: false vcount: 5 edges: { 1 0 3 0 2 1 4 2 4 3 } singleton graph, k=0 directed: false vcount: 1 edges: { } small directed graph, k=0 directed: true vcount: 5 edges: { 0 1 0 3 1 2 2 4 2 3 3 4 } singleton graph, k=3 directed: false vcount: 11 edges: { 1 0 3 0 2 1 4 2 4 3 6 0 5 1 8 0 5 3 7 1 6 2 9 2 7 4 9 3 8 4 10 5 10 6 10 7 10 8 10 9 } P_2, k=2 directed: false vcount: 11 edges: { 1 0 3 0 2 1 4 2 4 3 6 0 5 1 8 0 5 3 7 1 6 2 9 2 7 4 9 3 8 4 10 5 10 6 10 7 10 8 10 9 }