New Graph

         [B, D, 4, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C], 

           [8, F, D, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]

 

 

π = [124, 992, 3665, 2312, 2340, 3968, 3318, 62, 124, 1170, 2306, 897, 3362, 1984, 496, 3340, 248, 1670]

POSSIBLE RANKS

1 x 32378
2 x 16189
NullSpace of Δ

{1, 9}, {2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18}

Nullspace of A

[{2, 5, 8, 10, 12, 13, 14, 16, 17, 18},{3, 4, 6, 7, 11, 15}] `,` [{9},{1}]

 

1 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {}

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


2 . [1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, F, 4, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, D, D, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {2}

Delta Rank with R :  "tailcheck for rank 14"
Delta Rank with B :  "tailcheck for rank 12"


3 . [1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, D, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, 4, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {3}

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


4 . [1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 5, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 7, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {4}

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


5 . [1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, 7, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, A, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {5}

Delta Rank with R :  "tailcheck for rank 12"
Delta Rank with B :  11 vs 14


6 . [1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, E, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, 3, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {6}

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


7 . [1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, 10, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, B, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {7}

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


8 . [1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 4, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 5, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {8}

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


9 . [1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, 6, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, C, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {9}

Delta Rank with R :  "tailcheck for rank 13"
Delta Rank with B :  "tailcheck for rank 14"


10 . [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, B, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, D, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {10}

Delta Rank with R :  "tailcheck for rank 13"
Delta Rank with B :  10 vs 12


11 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 5, D, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 6, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {11}

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


12 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 6, 4, 10, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 5, D, 3, 7, 11, 6, 1, 6]
"Coloring", {12}

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


13 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 6, D, 3, 2, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 5, 4, 10, 7, 11, 6, 1, 6]
"Coloring", {13}

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


14 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 6, D, 10, 7, 6, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 2, 11, 6, 1, 6]
"Coloring", {14}

Delta Rank with R :  "tailcheck for rank 12"
Delta Rank with B :  13 vs 14


15 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 11, 12, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 6, 6, 1, 6]
"Coloring", {15}

Delta Rank with R :  "tailcheck for rank 14"
Delta Rank with B :  "tailcheck for rank 12"


16 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 6, 9, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 12, 1, 6]
"Coloring", {16}

Delta Rank with R :  "tailcheck for rank 12"
Delta Rank with B :  "tailcheck for rank 14"


17 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 1, C]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 9, 6]
"Coloring", {17}

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


18 . [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1]
"R", [B, D, 4, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, 6]
"B", [8, F, D, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, C]
"Coloring", {18}

Delta Rank with R :  "tailcheck for rank 13"
Delta Rank with B :  "tailcheck for rank 14"


19 . [1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, F, D, 7, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, D, 4, 5, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {2, 3}

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


20 . [1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [B, F, 4, 5, A, 3, B, 5, C, D, 6, D, 10, 2, 6, 12, 9, C]
"B", [8, D, D, 7, 7, E, 10, 4, 6, B, 5, 4, 3, 7, 11, 6, 1, 6]
"Coloring", {2, 4}

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


 
SUMMARY
Graph Type
CC
ν(A)
 2
ν(Δ)
 2
π
 [124, 992, 3665, 2312, 2340, 3968, 3318, 62, 124, 1170, 2306, 897, 3362, 1984, 496, 3340, 248, 1670]
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 0 0 20 131072