Spanning Run

R

[2, 1, 5, 5, 1]

B

[4, 3, 4, 3, 2]

pi

[1, 1, 1, 1, 1]

indegrees

[2, 2, 2, 2, 2]

Friedman weight

5

det

725/4096, .1770019531

nullspace of Delta

{1, 2, 3, 4, 5}

nullspace of A

` det(A) = ` 1/16

spanNum

45

Data

Coloring	R-cycles	B-cycles	Sync'd/Not Sync'd	R/B/Delta Ranking
1. {}	{{1, 2}}	{{3, 4}}	syncd, [2, 1, 5, 5, 1], [4, 3, 4, 3, 2]	2:2 , 2:2 , 4:4
2. {2}	{{1, 2, 3, 5}}	{{3, 4}}	syncd, [2, 3, 5, 5, 1], [4, 1, 4, 3, 2]	4:4 , 2:2 , 4:4
3. {3}	{{1, 2}}	{{2, 3, 5}}	syncd, [2, 1, 4, 5, 1], [4, 3, 5, 3, 2]	2:2 , 3:3 , 4:4
4. {4}	{{1, 2}}	{{2, 3, 4, 5}}	syncd, [2, 1, 5, 3, 1], [4, 3, 4, 5, 2]	2:2 , 4:4 , 4:4
5. {5}	{{1, 2}}	{{3, 4}}	syncd, [2, 1, 5, 5, 2], [4, 3, 4, 3, 1]	2:2 , 2:2 , 4:4
6. {2, 3}	{{1, 2, 3, 4, 5}}	{{1, 2, 3, 4, 5}}	notsyncd, [2, 3, 4, 5, 1], [4, 1, 5, 3, 2]	1:5 , 1:5 , 0:4
7. {2, 4}	{{1, 2, 3, 5}}	{{1, 2, 4, 5}}	syncd, [2, 3, 5, 3, 1], [4, 1, 4, 5, 2]	4:4 , 4:4 , 4:4
8. {2, 5}	{{2, 3, 5}}	{{3, 4}}	syncd, [2, 3, 5, 5, 2], [4, 1, 4, 3, 1]	3:3 , 2:2 , 4:4
9. {3, 4}	{{1, 2}, {3, 4}}	{{2, 3, 5}}	syncd, [2, 1, 4, 3, 1], [4, 3, 5, 5, 2]	2:4 , 3:3 , 4:4
10. {3, 5}	{{1, 2}}	{{1, 3, 4, 5}}	syncd, [2, 1, 4, 5, 2], [4, 3, 5, 3, 1]	2:2 , 4:4 , 4:4
11. {4, 5}	{{1, 2}}	{{1, 4, 5}}	syncd, [2, 1, 5, 3, 2], [4, 3, 4, 5, 1]	2:2 , 3:3 , 4:4
12. {2, 3, 4}	{{3, 4}}	{{1, 2, 4, 5}}	syncd, [2, 3, 4, 3, 1], [4, 1, 5, 5, 2]	2:2 , 4:4 , 4:4
13. {2, 3, 5}	{{2, 3, 4, 5}}	{{1, 3, 4, 5}}	syncd, [2, 3, 4, 5, 2], [4, 1, 5, 3, 1]	4:4 , 4:4 , 4:4
14. {2, 4, 5}	{{2, 3, 5}}	{{1, 4, 5}}	syncd, [2, 3, 5, 3, 2], [4, 1, 4, 5, 1]	3:3 , 3:3 , 4:4
15. {3, 4, 5}	{{1, 2}, {3, 4}}	{{1, 4, 5}}	syncd, [2, 1, 4, 3, 2], [4, 3, 5, 5, 1]	2:4 , 3:3 , 4:4
16. {2, 3, 4, 5}	{{3, 4}}	{{1, 4, 5}}	syncd, [2, 3, 4, 3, 2], [4, 1, 5, 5, 1]	2:2 , 3:3 , 4:4

Summary

Spanning Vector: [18, 18, 18, 18, 18]

Unicycle	Frequency	Length	Value
{1, 2}	6	2	12
{3, 4}	6	2	12
{1, 2, 3, 5}	2	4	8
{2, 3, 5}	4	3	12
{2, 3, 4, 5}	2	4	8
{1, 2, 3, 4, 5}	2	5	10
{1, 2, 4, 5}	2	4	8
{1, 3, 4, 5}	2	4	8
{1, 4, 5}	4	3	12

Twice No. of Spanning In-Trees = 90