New Graph

 [C, C, A, A, 3, 8, 6, 6, 4, 4, 8, A], [B, B, 5, 9, 9, 7, 5, 2, 7, 1, 2, 1]
                                 

 


 

π = [28, 26, 7, 24, 14, 23, 21, 25, 19, 29, 27, 27]

POSSIBLE RANKS

1 x 270
2 x 135
3 x 90
5 x 54
6 x 45
9 x 30
10 x 27
15 x 18
NullSpace of Δ

{11, 12}, {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Nullspace of A

[{3, 4, 6, 8, 10},{1, 2, 5, 7, 9}] `,` [{12},{11}]

 

1 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, C, A, A, 3, 8, 6, 6, 4, 4, 8, A]
"B", [B, B, 5, 9, 9, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  5 vs 6


2 . [1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, B, A, A, 3, 8, 6, 6, 4, 4, 8, A]
"B", [B, C, 5, 9, 9, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {2}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  6 vs 7


3 . [1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, C, 5, A, 3, 8, 6, 6, 4, 4, 8, A]
"B", [B, B, A, 9, 9, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {3}

Delta Rank with R :  3 vs 7
Delta Rank with B :  6 vs 7


4 . [1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, C, A, 9, 3, 8, 6, 6, 4, 4, 8, A]
"B", [B, B, 5, A, 9, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {4}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  6 vs 7


5 . [1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, C, A, A, 9, 8, 6, 6, 4, 4, 8, A]
"B", [B, B, 5, 9, 3, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {5}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  "tailcheck for rank 7"


6 . [1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1]
"R", [C, C, A, A, 3, 7, 6, 6, 4, 4, 8, A]
"B", [B, B, 5, 9, 9, 8, 5, 2, 7, 1, 2, 1]
"Coloring", {6}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  "tailcheck for rank 7"


7 . [1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1]
"R", [C, C, A, A, 3, 8, 5, 6, 4, 4, 8, A]
"B", [B, B, 5, 9, 9, 7, 6, 2, 7, 1, 2, 1]
"Coloring", {7}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  "tailcheck for rank 7"


8 . [1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1]
"R", [C, C, A, A, 3, 8, 6, 2, 4, 4, 8, A]
"B", [B, B, 5, 9, 9, 7, 5, 6, 7, 1, 2, 1]
"Coloring", {8}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  "tailcheck for rank 7"


9 . [1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1]
"R", [C, C, A, A, 3, 8, 6, 6, 7, 4, 8, A]
"B", [B, B, 5, 9, 9, 7, 5, 2, 4, 1, 2, 1]
"Coloring", {9}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  "tailcheck for rank 7"


10 . [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1]
"R", [C, C, A, A, 3, 8, 6, 6, 4, 1, 8, A]
"B", [B, B, 5, 9, 9, 7, 5, 2, 7, 4, 2, 1]
"Coloring", {10}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  "tailcheck for rank 7"


11 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1]
"R", [C, C, A, A, 3, 8, 6, 6, 4, 4, 2, A]
"B", [B, B, 5, 9, 9, 7, 5, 2, 7, 1, 8, 1]
"Coloring", {11}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  4 vs 7


12 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1]
"R", [C, C, A, A, 3, 8, 6, 6, 4, 4, 8, 1]
"B", [B, B, 5, 9, 9, 7, 5, 2, 7, 1, 2, A]
"Coloring", {12}

Delta Rank with R :  3 vs 7
Delta Rank with B :  5 vs 7


13 . [1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, B, 5, A, 3, 8, 6, 6, 4, 4, 8, A]
"B", [B, C, A, 9, 9, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {2, 3}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  7 vs 8


14 . [1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, B, A, 9, 3, 8, 6, 6, 4, 4, 8, A]
"B", [B, C, 5, A, 9, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {2, 4}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  7 vs 8


15 . [1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, B, A, A, 9, 8, 6, 6, 4, 4, 8, A]
"B", [B, C, 5, 9, 3, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {2, 5}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  6 vs 8


16 . [1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1]
"R", [C, B, A, A, 3, 7, 6, 6, 4, 4, 8, A]
"B", [B, C, 5, 9, 9, 8, 5, 2, 7, 1, 2, 1]
"Coloring", {2, 6}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  7 vs 8


17 . [1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1]
"R", [C, B, A, A, 3, 8, 5, 6, 4, 4, 8, A]
"B", [B, C, 5, 9, 9, 7, 6, 2, 7, 1, 2, 1]
"Coloring", {2, 7}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  6 vs 8


18 . [1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1]
"R", [C, B, A, A, 3, 8, 6, 2, 4, 4, 8, A]
"B", [B, C, 5, 9, 9, 7, 5, 6, 7, 1, 2, 1]
"Coloring", {2, 8}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  7 vs 8


19 . [1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1]
"R", [C, B, A, A, 3, 8, 6, 6, 7, 4, 8, A]
"B", [B, C, 5, 9, 9, 7, 5, 2, 4, 1, 2, 1]
"Coloring", {2, 9}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  6 vs 8


20 . [1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1]
"R", [C, B, A, A, 3, 8, 6, 6, 4, 1, 8, A]
"B", [B, C, 5, 9, 9, 7, 5, 2, 7, 4, 2, 1]
"Coloring", {2, 10}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  7 vs 8


21 . [1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1]
"R", [C, B, A, A, 3, 8, 6, 6, 4, 4, 2, A]
"B", [B, C, 5, 9, 9, 7, 5, 2, 7, 1, 8, 1]
"Coloring", {2, 11}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  7 vs 8


22 . [1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1]
"R", [C, B, A, A, 3, 8, 6, 6, 4, 4, 8, 1]
"B", [B, C, 5, 9, 9, 7, 5, 2, 7, 1, 2, A]
"Coloring", {2, 12}

Delta Rank with R :  "tailcheck for rank 8"
Delta Rank with B :  7 vs 8


23 . [1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, C, 5, 9, 3, 8, 6, 6, 4, 4, 8, A]
"B", [B, B, A, A, 9, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {3, 4}

Delta Rank with R :  4 vs 8
Delta Rank with B :  6 vs 7


24 . [1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1]
"R", [C, C, 5, A, 9, 8, 6, 6, 4, 4, 8, A]
"B", [B, B, A, 9, 3, 7, 5, 2, 7, 1, 2, 1]
"Coloring", {3, 5}

Delta Rank with R :  "tailcheck for rank 7"
Delta Rank with B :  8 vs 8

 --->  SYNC'D ` See graph

`


 
SUMMARY
Graph Type
CC
ν(A)
2
ν(Δ)
2
π
[28, 26, 7, 24, 14, 23, 21, 25, 19, 29, 27, 27]
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 1 0 24 2048