FUNDAMENTAL CYCLE BASIS

Null graph

Singleton graph

Single vertex with loop
( 0 )

Tree

2-cycle
( 0 1 )

Disconnected
( 1 0 2 )
( 4 5 )
( 3 5 )
( 7 6 10 )
( 8 10 9 )
( 11 )
( 13 )

MINIMUM WEIGHT CYCLE BASIS

Null graph

Singleton graph

Single vertex with loop
( 0 )

Tree

2-cycle
( 0 1 )

Disconnected
( 11 )
( 13 )
( 3 5 )
( 4 5 )
( 0 1 2 )
( 6 7 10 )
( 8 9 10 )

Periodic (5,6)-grid
( 0 1 10 3 )
( 0 51 50 53 )
( 1 8 9 18 )
( 2 3 12 5 )
( 2 53 52 55 )
( 4 5 14 7 )
( 4 55 54 57 )
( 6 7 16 9 )
( 6 57 56 59 )
( 8 59 58 51 )
( 10 11 20 13 )
( 11 18 19 28 )
( 12 13 22 15 )
( 14 15 24 17 )
( 16 17 26 19 )
( 20 21 30 23 )
( 21 28 29 38 )
( 22 23 32 25 )
( 24 25 34 27 )
( 26 27 36 29 )
( 30 31 40 33 )
( 31 38 39 48 )
( 32 33 42 35 )
( 34 35 44 37 )
( 36 37 46 39 )
( 40 41 50 43 )
( 41 48 49 58 )
( 42 43 52 45 )
( 44 45 54 47 )
( 0 8 6 4 2 )
( 1 51 41 31 21 11 )