New Graph

             [6, C, 10, E, 9, F, 6, 5, 2, 4, 3, 8, 1, A, 1, F], 

               [8, B, A, B, 1, 9, 5, F, B, D, 9, 7, 5, 6, C, 8]

                                 

 


 

π = [4045, 2652, 2142, 612, 3294, 3030, 1709, 4267, 5304, 1224, 4284, 3418, 612, 306, 4184, 1071]

POSSIBLE RANKS

1 x 42154
2 x 21077
7 x 6022
14 x 3011
NullSpace of Δ

{1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16}, {4, 13}

Nullspace of A

[{13},{4}] `,` [{1, 3, 6, 7, 11, 15, 16},{2, 5, 8, 9, 10, 12, 14}]

 

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

Delta Rank with R :  9 vs 13
Delta Rank with B :  "tailcheck for rank 11"


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

Delta Rank with R :  10 vs 13
Delta Rank with B :  "tailcheck for rank 11"


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

Delta Rank with R :  8 vs 12
Delta Rank with B :  "tailcheck for rank 11"


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

Delta Rank with R :  12 vs 13
Delta Rank with B :  "tailcheck for rank 12"


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

Delta Rank with R :  "tailcheck for rank 12"
Delta Rank with B :  "tailcheck for rank 10"


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

Delta Rank with R :  12 vs 13
Delta Rank with B :  "tailcheck for rank 11"


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

Delta Rank with R :  9 vs 13
Delta Rank with B :  11 vs 11

 --->  SYNC'D ` See graph

`


 
SUMMARY
Graph Type
CC
ν(A)
2
ν(Δ)
2
π
[4045, 2652, 2142, 612, 3294, 3030, 1709, 4267, 5304, 1224, 4284, 3418, 612, 306, 4184, 1071]
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 7 32768