New Graph

        [A, 11, 9, 3, B, C, B, F, F, E, 7, 6, 2, 6, 5, D, 1, 4], 

          [5, 7, 10, 6, 11, 4, 2, C, 2, 12, 6, 5, 12, 8, C, 7, 5, 10]

π = [8296, 12463, 7138, 14276, 20721, 25162, 18725, 1037, 3569, 4148, 19723, 14251, 2632, 2074, 2303, 5264, 16592, 3390]

POSSIBLE RANKS

1 x 181764
2 x 90882
3 x 60588
4 x 45441
6 x 30294
9 x 20196
11 x 16524
12 x 15147
17 x 10692
18 x 10098
22 x 8262
27 x 6732
33 x 5508
34 x 5346
36 x 5049
44 x 4131
51 x 3564
54 x 3366
66 x 2754
68 x 2673
81 x 2244
99 x 1836
102 x 1782
108 x 1683
132 x 1377
153 x 1188
162 x 1122
187 x 972
198 x 918
204 x 891
243 x 748
297 x 612
306 x 594
324 x 561
374 x 486
396 x 459
NullSpace of Δ

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

Nullspace of A

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

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

Delta Rank with R : "tailcheck for rank 15"
Delta Rank with B : "tailcheck for rank 10"

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

Delta Rank with R : "tailcheck for rank 14"
Delta Rank with B : "tailcheck for rank 10"

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

Delta Rank with R : "tailcheck for rank 15"
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, 1, 1]
"R", [A, 11, 9, 6, B, C, B, F, F, E, 7, 6, 2, 6, 5, D, 1, 4]
"B", [5, 7, 10, 3, 11, 4, 2, C, 2, 12, 6, 5, 12, 8, C, 7, 5, 10]
"Coloring", {4}

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

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

Delta Rank with R : "tailcheck for rank 15"
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, 1, 1]
"R", [A, 11, 9, 3, B, 4, B, F, F, E, 7, 6, 2, 6, 5, D, 1, 4]
"B", [5, 7, 10, 6, 11, C, 2, C, 2, 12, 6, 5, 12, 8, C, 7, 5, 10]
"Coloring", {6}

Delta Rank with R : 14 vs 14
Delta Rank with B : "tailcheck for rank 9"

---> SYNC'D ` See graph

SUMMARY

Graph Type
CC

ν(A)
1

ν(Δ)
1

π
[8296, 12463, 7138, 14276, 20721, 25162, 18725, 1037, 3569, 4148, 19723, 14251, 2632, 2074, 2303, 5264, 16592, 3390]

Dbly Stoch
false

SUMMARY
Graph Type		CC
ν(A)		1
ν(Δ)		1
π		[8296, 12463, 7138, 14276, 20721, 25162, 18725, 1037, 3569, 4148, 19723, 14251, 2632, 2074, 2303, 5264, 16592, 3390]
Dbly Stoch		false

SANDWICH
Total 0

No . Coloring Rank

SANDWICH		Total 0
No .	Coloring	Rank

RT GROUPS
Total 0

No . Coloring Rank Solv

RT GROUPS		Total 0
No .	Coloring	Rank	Solv

RANK'D SYNC'D NOT RANK'D τ-RANK'D NOT SYNC'D Total Runs 2^n-1
0 0 1 0 6 131072