New Graph

                      [2, 1, 5, 5, 1], [4, 3, 4, 3, 2]
                                 

 


 

π = [1, 1, 1, 1, 1]

POSSIBLE RANKS

1 x 5
NullSpace of Δ

{1, 2, 3, 4, 5}

Nullspace of A

` det(A) = ` 1/16

 

1 . [1, 1, 1, 1, 1]
"R", [2, 1, 5, 5, 1]
"B", [4, 3, 4, 3, 2]
"Coloring", {}

Delta Rank with R :  3 vs 3
Delta Rank with B :  3 vs 3

` See graph

`  --->  RB-SYNC'D

2 . [1, -1, 1, 1, 1]
"R", [2, 3, 5, 5, 1]
"B", [4, 1, 4, 3, 2]
"Coloring", {2}

Delta Rank with R :  4 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

3 . [1, 1, -1, 1, 1]
"R", [2, 1, 4, 5, 1]
"B", [4, 3, 5, 3, 2]
"Coloring", {3}

Delta Rank with R :  4 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

4 . [1, 1, 1, -1, 1]
"R", [2, 1, 5, 3, 1]
"B", [4, 3, 4, 5, 2]
"Coloring", {4}

Delta Rank with R :  4 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

5 . [1, 1, 1, 1, -1]
"R", [2, 1, 5, 5, 2]
"B", [4, 3, 4, 3, 1]
"Coloring", {5}

Delta Rank with R :  3 vs 3
Delta Rank with B :  3 vs 3

` See graph

`  --->  RB-SYNC'D

6 . [1, -1, -1, 1, 1]
"R", [2, 3, 4, 5, 1]
"B", [4, 1, 5, 3, 2]
"Coloring", {2, 3}

Delta Rank with R :  1 vs 5
Delta Rank with B :  1 vs 5

` See graph

` NOT SYNC'D

7 . [1, -1, 1, -1, 1]
"R", [2, 3, 5, 3, 1]
"B", [4, 1, 4, 5, 2]
"Coloring", {2, 4}

Delta Rank with R :  4 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

8 . [1, -1, 1, 1, -1]
"R", [2, 3, 5, 5, 2]
"B", [4, 1, 4, 3, 1]
"Coloring", {2, 5}

Delta Rank with R :  3 vs 3
Delta Rank with B :  3 vs 3

` See graph

`  --->  RB-SYNC'D

9 . [1, 1, -1, -1, 1]
"R", [2, 1, 4, 3, 1]
"B", [4, 3, 5, 5, 2]
"Coloring", {3, 4}

Delta Rank with R :  2 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

10 . [1, 1, -1, 1, -1]
"R", [2, 1, 4, 5, 2]
"B", [4, 3, 5, 3, 1]
"Coloring", {3, 5}

Delta Rank with R :  4 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

11 . [1, 1, 1, -1, -1]
"R", [2, 1, 5, 3, 2]
"B", [4, 3, 4, 5, 1]
"Coloring", {4, 5}

Delta Rank with R :  4 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

12 . [1, -1, -1, -1, 1]
"R", [2, 3, 4, 3, 1]
"B", [4, 1, 5, 5, 2]
"Coloring", {2, 3, 4}

Delta Rank with R :  4 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

13 . [1, -1, -1, 1, -1]
"R", [2, 3, 4, 5, 2]
"B", [4, 1, 5, 3, 1]
"Coloring", {2, 3, 5}

Delta Rank with R :  4 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

14 . [1, -1, 1, -1, -1]
"R", [2, 3, 5, 3, 2]
"B", [4, 1, 4, 5, 1]
"Coloring", {2, 4, 5}

Delta Rank with R :  3 vs 3
Delta Rank with B :  3 vs 3

` See graph

`  --->  RB-SYNC'D

15 . [1, 1, -1, -1, -1]
"R", [2, 1, 4, 3, 2]
"B", [4, 3, 5, 5, 1]
"Coloring", {3, 4, 5}

Delta Rank with R :  2 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

16 . [1, -1, -1, -1, -1]
"R", [2, 3, 4, 3, 2]
"B", [4, 1, 5, 5, 1]
"Coloring", {2, 3, 4, 5}

Delta Rank with R :  3 vs 3
Delta Rank with B :  3 vs 3

` See graph

`  --->  RB-SYNC'D


 
SUMMARY
Graph Type
NOT CC
ν(A)
0
ν(Δ)
1
π
[1, 1, 1, 1, 1]
Dbly Stoch
true

 
SANDWICH
Total 0
No .ColoringRank

 
RT GROUPS
Total 0
No .ColoringRankSolv

 

RANK'DSYNC'D NOT RANK'D τ-RANK'DNOT SYNC'D Total Runs2n-1
0 0 15 1 16 16