Spanning Run

R

[3, 3, 1, 1]

B

[2, 4, 4, 2]

pi

[1, 1, 1, 1]

indegrees

[2, 2, 2, 2]

Friedman weight

4

det

117/512, .2285156250

nullspace of Delta

{1, 2, 3, 4}

nullspace of A

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

spanNum

20

Data

Coloring	R-cycles	B-cycles	Sync'd/Not Sync'd	R/B/Delta Ranking
1. {}	{{1, 3}}	{{2, 4}}	notsyncd, [3, 3, 1, 1], [2, 4, 4, 2]	1:2 , 1:2 , 1:3
2. {2}	{{1, 3}}	{{2, 3, 4}}	syncd, [3, 4, 1, 1], [2, 3, 4, 2]	1:2 , 3:3 , 3:3
3. {3}	{{1, 3, 4}}	{{2, 4}}	syncd, [3, 3, 4, 1], [2, 4, 1, 2]	3:3 , 1:2 , 3:3
4. {4}	{{1, 3}}	{{1, 2, 4}}	syncd, [3, 3, 1, 2], [2, 4, 4, 1]	1:2 , 3:3 , 3:3
5. {2, 3}	{{1, 3, 4}}	{{1, 2, 3}}	syncd, [3, 4, 4, 1], [2, 3, 1, 2]	3:3 , 3:3 , 3:3
6. {2, 4}	{{2, 4}, {1, 3}}	{{1, 2, 3, 4}}	notsyncd, [3, 4, 1, 2], [2, 3, 4, 1]	1:4 , 1:4 , 0:3
7. {3, 4}	{{2, 3, 4}}	{{1, 2, 4}}	syncd, [3, 3, 4, 2], [2, 4, 1, 1]	3:3 , 3:3 , 3:3
8. {2, 3, 4}	{{2, 4}}	{{1, 2, 3}}	syncd, [3, 4, 4, 2], [2, 3, 1, 1]	1:2 , 3:3 , 3:3

Summary

Spanning Vector: [10, 10, 10, 10]

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

Twice No. of Spanning In-Trees = 40