03 04 05 12 14 15 23                 edges= 7  C5 + false twin  (complement: pentagon with a true twin, no. 7)             complement: edges 01 02 13 24 25 34 35 45        chordal=False
03 04 05 12 13 15 23 24              edges= 8  Lambda_{5,I}, |I|=2 (complement: pentagon with a triangle on an edge, no. 5) complement: edges 01 02 14 25 34 35 45           chordal=False
03 04 05 13 14 15 23 24              edges= 8  (complement chordal)                                                        complement: edges 01 02 12 25 34 35 45           chordal=True
02 03 04 05 13 14 15 23 24           edges= 9  (complement chordal)                                                        complement: edges 01 12 25 34 35 45              chordal=True
03 04 05 12 15 23 24 34              edges= 8  C5 + true twin   (complement: pentagon with a false twin, no. 6)            complement: edges 01 02 13 14 25 35 45           chordal=False
02 04 05 12 13 15 23 24 34           edges= 9  Lambda_{5,I}, |I|=1 (complement: pentagon with a pendant vertex, no. 2)     complement: edges 01 03 14 25 35 45              chordal=False
03 04 05 12 14 15 23 25 34           edges= 9  prism (complement: hexagon, no. 3)                                          complement: edges 01 02 13 24 35 45              chordal=False
01 03 04 05 12 14 15 23 25 34        edges=10  (complement chordal)                                                        complement: edges 02 13 24 35 45                 chordal=True
