Vertex Disjoint Triangles
---1---A---------B---2---- -----1----D----2---
\ / |
\ / |
\ / |
\ / |
C 3
|
|
3
Twin-Triangles
B
/|\
2 | 3
E---1--A 1 C---1---F E---1-------------1---F
3 | 2
\|/
D
To remove a 4-cycle from a CPG
---1---A----------B---2---
| |
| |
---3---C----------D---4---
/-6----
/
---1---A----------B---2---E---5---
| |
| |
---3---C----------D---4---F---7---
\
\-8----
/---------6----
/
---1---A----------B---2---E---5---
| |
| |
---3---C----------D---4---F---7---
\
\---------8----