Inter-cluster edges of the STOMACH graph form matchings or partial matchings (of 5,6,10 or 14 edges) between pairs of clusters.

Here is a complete list of 54 fat edges each of which consists of edges between vertices from two clusters.

1234 - 123'4' | 1234 - 1243 | 1234 - 124'3' | 1234 - 1324
1234 - 2134 | 1234 - 124'3' | 123'4' - 1243 | 123'4' - 124'3'
123'4' - 132'4' | 123'4' - 213'4' | 1243 - 124'3' | 1243 - 1423
1243 - 2143 | 1243 - 142'3' | 1243 - 214'3' | 1324 - 132'4'
1324 - 1342 | 1324 - 134'2' | 1324 - 3124 | 1342 - 132'4'
132'4' - 134'2' | 132'4' - 312'4' | 1342 - 134'2' | 1342 - 1432
1342 - 3142 | 134'2' - 143'2' | 134'2' - 314'2' | 1423 - 142'3'
1423 - 1432 1423 - 143'2' | 1423 - 4123 | 1432 - 142'3'
142'3' - 143'2' | 142'3' - 412'3' | 1432 - 4132 | 143'2' - 413'2'
2134 - 213'4' | 2134 - 2143| 2134 - 214'3' | 2143 - 213'4'
213'4' - 214'3' 2143 - 214'3' | 3124 - 312'4' | 3124 - 3142
3124 - 314'2' | 312'4' - 3142 | 312'4' - 314'2' | 3142 - 314'2'
4123 - 412'3' | 4123 - 4132 | 4123 - 413'2' | 412'3' - 4132
412'3' - 413'2' | 4132 - 413'2' More