New Graph

                   [3, 3, 5, 5, 1, 1], [2, 4, 6, 6, 4, 2]

 

 

π = [1, 1, 1, 1, 1, 1]

POSSIBLE RANKS

1 x 6
2 x 3
NullSpace of Δ

{1, 2, 3, 4}, {5, 6}

Nullspace of A

[{6},{5}] `,` [{2, 4},{1, 3}]

 

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

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

` See graph

` NOT SYNC'D

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

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

` See graph

` NOT SYNC'D

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

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

` See graph

`  --->  RB-SYNC'D

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

Delta Rank with R :  2 vs 4
Delta Rank with B :  3 vs 4

` See graph

` SYNC'D 3/32

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

Delta Rank with R :  3 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

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

Delta Rank with R :  2 vs 4
Delta Rank with B :  3 vs 4

` See graph

` SYNC'D 3/16

7 . [1, -1, -1, 1, 1, 1]
"R", [3, 4, 6, 5, 1, 1]
"B", [2, 3, 5, 6, 4, 2]
"Coloring", {2, 3}

Delta Rank with R :  3 vs 5
Delta Rank with B :  5 vs 5

` See graph

`  --->  RB-SYNC'D

8 . [1, -1, 1, -1, 1, 1]
"R", [3, 4, 5, 6, 1, 1]
"B", [2, 3, 6, 5, 4, 2]
"Coloring", {2, 4}

Delta Rank with R :  3 vs 5
Delta Rank with B :  3 vs 5

` See graph

` SYNC'D 5/64

9 . [1, -1, 1, 1, -1, 1]
"R", [3, 4, 5, 5, 4, 1]
"B", [2, 3, 6, 6, 1, 2]
"Coloring", {2, 5}

Delta Rank with R :  3 vs 4
Delta Rank with B :  4 vs 4

` See graph

`  --->  RB-SYNC'D

10 . [1, -1, 1, 1, 1, -1]
"R", [3, 4, 5, 5, 1, 2]
"B", [2, 3, 6, 6, 4, 1]
"Coloring", {2, 6}

Delta Rank with R :  3 vs 5
Delta Rank with B :  4 vs 5

` See graph

` SYNC'D 3/16

11 . [1, 1, -1, -1, 1, 1]
"R", [3, 3, 6, 6, 1, 1]
"B", [2, 4, 5, 5, 4, 2]
"Coloring", {3, 4}

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

` See graph

`  --->  RB-SYNC'D

12 . [1, 1, -1, 1, -1, 1]
"R", [3, 3, 6, 5, 4, 1]
"B", [2, 4, 5, 6, 1, 2]
"Coloring", {3, 5}

Delta Rank with R :  3 vs 5
Delta Rank with B :  3 vs 5

` See graph

` SYNC'D 29/256

13 . [1, 1, -1, 1, 1, -1]
"R", [3, 3, 6, 5, 1, 2]
"B", [2, 4, 5, 6, 4, 1]
"Coloring", {3, 6}

Delta Rank with R :  3 vs 5
Delta Rank with B :  4 vs 5

` See graph

` SYNC'D 5/32

14 . [1, 1, 1, -1, -1, 1]
"R", [3, 3, 5, 6, 4, 1]
"B", [2, 4, 6, 5, 1, 2]
"Coloring", {4, 5}

Delta Rank with R :  5 vs 5
Delta Rank with B :  4 vs 5

` See graph

`  --->  RB-SYNC'D

15 . [1, 1, 1, -1, 1, -1]
"R", [3, 3, 5, 6, 1, 2]
"B", [2, 4, 6, 5, 4, 1]
"Coloring", {4, 6}

Delta Rank with R :  3 vs 5
Delta Rank with B :  4 vs 5

` See graph

` SYNC'D 3/32

16 . [1, 1, 1, 1, -1, -1]
"R", [3, 3, 5, 5, 4, 2]
"B", [2, 4, 6, 6, 1, 1]
"Coloring", {5, 6}

Delta Rank with R :  3 vs 4
Delta Rank with B :  3 vs 4

` See graph

` SYNC'D 1/8

17 . [1, -1, -1, -1, 1, 1]
"R", [3, 4, 6, 6, 1, 1]
"B", [2, 3, 5, 5, 4, 2]
"Coloring", {2, 3, 4}

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

` See graph

`  --->  RB-SYNC'D

18 . [1, -1, -1, 1, -1, 1]
"R", [3, 4, 6, 5, 4, 1]
"B", [2, 3, 5, 6, 1, 2]
"Coloring", {2, 3, 5}

Delta Rank with R :  2 vs 5
Delta Rank with B :  4 vs 5

` See graph

` NOT SYNC'D

19 . [1, -1, -1, 1, 1, -1]
"R", [3, 4, 6, 5, 1, 2]
"B", [2, 3, 5, 6, 4, 1]
"Coloring", {2, 3, 6}

Delta Rank with R :  1 vs 6
Delta Rank with B :  1 vs 6

` See graph

` NOT SYNC'D

20 . [1, -1, 1, -1, -1, 1]
"R", [3, 4, 5, 6, 4, 1]
"B", [2, 3, 6, 5, 1, 2]
"Coloring", {2, 4, 5}

Delta Rank with R :  5 vs 5
Delta Rank with B :  3 vs 5

` See graph

`  --->  RB-SYNC'D

21 . [1, -1, 1, -1, 1, -1]
"R", [3, 4, 5, 6, 1, 2]
"B", [2, 3, 6, 5, 4, 1]
"Coloring", {2, 4, 6}

Delta Rank with R :  1 vs 6
Delta Rank with B :  1 vs 6

` See graph

` NOT SYNC'D

22 . [1, -1, 1, 1, -1, -1]
"R", [3, 4, 5, 5, 4, 2]
"B", [2, 3, 6, 6, 1, 1]
"Coloring", {2, 5, 6}

Delta Rank with R :  "tailcheck for rank 4"
Delta Rank with B :  3 vs 4

` See graph

` SYNC'D 1/8

23 . [1, 1, -1, -1, -1, 1]
"R", [3, 3, 6, 6, 4, 1]
"B", [2, 4, 5, 5, 1, 2]
"Coloring", {3, 4, 5}

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

` See graph

`  --->  RB-SYNC'D

24 . [1, 1, -1, -1, 1, -1]
"R", [3, 3, 6, 6, 1, 2]
"B", [2, 4, 5, 5, 4, 1]
"Coloring", {3, 4, 6}

Delta Rank with R :  2 vs 4
Delta Rank with B :  3 vs 4

` See graph

` SYNC'D 1/16

25 . [1, 1, -1, 1, -1, -1]
"R", [3, 3, 6, 5, 4, 2]
"B", [2, 4, 5, 6, 1, 1]
"Coloring", {3, 5, 6}

Delta Rank with R :  3 vs 5
Delta Rank with B :  4 vs 5

` See graph

` SYNC'D 25/256

26 . [1, 1, 1, -1, -1, -1]
"R", [3, 3, 5, 6, 4, 2]
"B", [2, 4, 6, 5, 1, 1]
"Coloring", {4, 5, 6}

Delta Rank with R :  5 vs 5
Delta Rank with B :  4 vs 5

` See graph

`  --->  RB-SYNC'D

27 . [1, -1, -1, -1, -1, 1]
"R", [3, 4, 6, 6, 4, 1]
"B", [2, 3, 5, 5, 1, 2]
"Coloring", {2, 3, 4, 5}

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

` See graph

`  --->  RB-SYNC'D

28 . [1, -1, -1, -1, 1, -1]
"R", [3, 4, 6, 6, 1, 2]
"B", [2, 3, 5, 5, 4, 1]
"Coloring", {2, 3, 4, 6}

Delta Rank with R :  3 vs 5
Delta Rank with B :  4 vs 5

` See graph

` SYNC'D 1/16

29 . [1, -1, -1, 1, -1, -1]
"R", [3, 4, 6, 5, 4, 2]
"B", [2, 3, 5, 6, 1, 1]
"Coloring", {2, 3, 5, 6}

Delta Rank with R :  4 vs 5
Delta Rank with B :  4 vs 5

` See graph

` SYNC'D 27/256

30 . [1, -1, 1, -1, -1, -1]
"R", [3, 4, 5, 6, 4, 2]
"B", [2, 3, 6, 5, 1, 1]
"Coloring", {2, 4, 5, 6}

Delta Rank with R :  3 vs 5
Delta Rank with B :  4 vs 5

` See graph

` SYNC'D 47/256

31 . [1, 1, -1, -1, -1, -1]
"R", [3, 3, 6, 6, 4, 2]
"B", [2, 4, 5, 5, 1, 1]
"Coloring", {3, 4, 5, 6}

Delta Rank with R :  4 vs 4
Delta Rank with B :  3 vs 4

` See graph

`  --->  RB-SYNC'D

32 . [1, -1, -1, -1, -1, -1]
"R", [3, 4, 6, 6, 4, 2]
"B", [2, 3, 5, 5, 1, 1]
"Coloring", {2, 3, 4, 5, 6}

Delta Rank with R :  4 vs 4
Delta Rank with B :  3 vs 4

` See graph

`  --->  RB-SYNC'D

 
SUMMARY
Graph Type
CC
ν(A)
 2
ν(Δ)
 2
π
 [1, 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 13 5 32 32