New Graph

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

 


 

π = [1, 1, 2, 2]

POSSIBLE RANKS

1 x 6
2 x 3
NullSpace of Δ

{1, 2, 3, 4}

Nullspace of A

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

 

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

Delta Rank with R :  2 vs 4
Delta Rank with B :  1 vs 2

` See graph

` NOT SYNC'D

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

Delta Rank with R :  3 vs 3
Delta Rank with B :  2 vs 2

` See graph

`  --->  RB-SYNC'D

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

Delta Rank with R :  3 vs 3
Delta Rank with B :  2 vs 3

` See graph

`  --->  RB-SYNC'D

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

Delta Rank with R :  3 vs 3
Delta Rank with B :  2 vs 3

` See graph

`  --->  RB-SYNC'D

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

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

` See graph

`  --->  RB-SYNC'D

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

Delta Rank with R :  1 vs 3
Delta Rank with B :  1 vs 3

` See graph

` NOT SYNC'D

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

Delta Rank with R :  1 vs 2
Delta Rank with B :  2 vs 4

` See graph

` NOT SYNC'D

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

Delta Rank with R :  2 vs 2
Delta Rank with B :  3 vs 3

` See graph

`  --->  RB-SYNC'D


 
SUMMARY
Graph Type
CC
ν(A)
1
ν(Δ)
1
π
[1, 1, 2, 2]
Dbly Stoch
false

 
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 5 3 8 8