Spanning Run

R

[4, 3, 1, 2]

B

[3, 4, 4, 3]

pi

[1, 1, 2, 2]

indegrees

[1, 1, 3, 3]

Friedman weight

6

det

3/16, .1875000000

nullspace of Delta

{1, 2, 3, 4}

nullspace of A

[{2, 4},{1, 3}]

spanNum

18

Data

Coloring	R-cycles	B-cycles	Sync'd/Not Sync'd	R/B/Delta Ranking
1. {}	{{1, 2, 3, 4}}	{{3, 4}}	notsyncd, [4, 3, 1, 2], [3, 4, 4, 3]	2:4 , 1:2 , 1:3
2. {2}	{{2, 4}}	{{3, 4}}	syncd, [4, 4, 1, 2], [3, 3, 4, 3]	2:2 , 2:2 , 3:3
3. {3}	{{2, 3, 4}}	{{1, 3}}	syncd, [4, 3, 4, 2], [3, 4, 1, 3]	3:3 , 1:2 , 3:3
4. {4}	{{1, 3, 4}}	{{2, 4}}	syncd, [4, 3, 1, 3], [3, 4, 4, 2]	3:3 , 1:2 , 3:3
5. {2, 3}	{{2, 4}}	{{1, 3}}	syncd, [4, 4, 4, 2], [3, 3, 1, 3]	2:2 , 2:2 , 3:3
6. {2, 4}	{{1, 3, 4}}	{{2, 3, 4}}	notsyncd, [4, 4, 1, 3], [3, 3, 4, 2]	1:3 , 1:3 , 1:3
7. {3, 4}	{{3, 4}}	{{1, 3}, {2, 4}}	notsyncd, [4, 3, 4, 3], [3, 4, 1, 2]	1:2 , 2:4 , 1:3
8. {2, 3, 4}	{{3, 4}}	{{1, 3}}	syncd, [4, 4, 4, 3], [3, 3, 1, 2]	2:2 , 2:2 , 3:3

Summary

Spanning Vector: [6, 6, 12, 12]

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

Twice No. of Spanning In-Trees = 36