New Graph
[9, 4, A, 2, C, C, 3, 7, 6, 8, 7, 1], [3, 5, 1, 1, B, 2, C, 6, A, C, 5, 3]
π =
[836, 246, 862, 123, 164, 369, 201, 320, 418, 640, 82, 687]
POSSIBLE RANKS
1
x
4948
2
x
2474
4
x
1237
NullSpace of Δ
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Nullspace of A
[{2, 3, 4, 7, 8, 10, 11},{1, 5, 6, 9, 12}]
1
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [9, 4, A, 2, C, C, 3, 7, 6, 8, 7, 1]
"B", [3, 5, 1, 1, B, 2, C, 6, A, C, 5, 3]
"Coloring", {}
Delta Rank with R :
4
vs
10
Delta Rank with B :
"tailcheck for rank 8"
2
.
[1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [9, 5, A, 2, C, C, 3, 7, 6, 8, 7, 1]
"B", [3, 4, 1, 1, B, 2, C, 6, A, C, 5, 3]
"Coloring", {2}
Delta Rank with R :
6
vs
10
Delta Rank with B :
"tailcheck for rank 9"
3
.
[1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [9, 4, 1, 2, C, C, 3, 7, 6, 8, 7, 1]
"B", [3, 5, A, 1, B, 2, C, 6, A, C, 5, 3]
"Coloring", {3}
Delta Rank with R :
7
vs
9
Delta Rank with B :
"tailcheck for rank 8"
4
.
[1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [9, 4, A, 1, C, C, 3, 7, 6, 8, 7, 1]
"B", [3, 5, 1, 2, B, 2, C, 6, A, C, 5, 3]
"Coloring", {4}
Delta Rank with R :
5
vs
9
Delta Rank with B :
"tailcheck for rank 8"
5
.
[1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1]
"R", [9, 4, A, 2, B, C, 3, 7, 6, 8, 7, 1]
"B", [3, 5, 1, 1, C, 2, C, 6, A, C, 5, 3]
"Coloring", {5}
Delta Rank with R :
5
vs
11
Delta Rank with B :
"tailcheck for rank 7"
6
.
[1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1]
"R", [9, 4, A, 2, C, 2, 3, 7, 6, 8, 7, 1]
"B", [3, 5, 1, 1, B, C, C, 6, A, C, 5, 3]
"Coloring", {6}
Delta Rank with R :
8
vs
10
Delta Rank with B :
"tailcheck for rank 7"
7
.
[1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1]
"R", [9, 4, A, 2, C, C, C, 7, 6, 8, 7, 1]
"B", [3, 5, 1, 1, B, 2, 3, 6, A, C, 5, 3]
"Coloring", {7}
Delta Rank with R :
7
vs
9
Delta Rank with B :
"tailcheck for rank 8"
8
.
[1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1]
"R", [9, 4, A, 2, C, C, 3, 6, 6, 8, 7, 1]
"B", [3, 5, 1, 1, B, 2, C, 7, A, C, 5, 3]
"Coloring", {8}
Delta Rank with R :
8
vs
10
Delta Rank with B :
"tailcheck for rank 8"
9
.
[1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1]
"R", [9, 4, A, 2, C, C, 3, 7, A, 8, 7, 1]
"B", [3, 5, 1, 1, B, 2, C, 6, 6, C, 5, 3]
"Coloring", {9}
Delta Rank with R :
7
vs
9
Delta Rank with B :
"tailcheck for rank 7"
10
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1]
"R", [9, 4, A, 2, C, C, 3, 7, 6, C, 7, 1]
"B", [3, 5, 1, 1, B, 2, C, 6, A, 8, 5, 3]
"Coloring", {10}
Delta Rank with R :
7
vs
9
Delta Rank with B :
"tailcheck for rank 9"
11
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1]
"R", [9, 4, A, 2, C, C, 3, 7, 6, 8, 5, 1]
"B", [3, 5, 1, 1, B, 2, C, 6, A, C, 7, 3]
"Coloring", {11}
Delta Rank with R :
5
vs
11
Delta Rank with B :
"tailcheck for rank 9"
12
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1]
"R", [9, 4, A, 2, C, C, 3, 7, 6, 8, 7, 3]
"B", [3, 5, 1, 1, B, 2, C, 6, A, C, 5, 1]
"Coloring", {12}
Delta Rank with R :
7
vs
9
Delta Rank with B :
"tailcheck for rank 8"
13
.
[1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [9, 5, 1, 2, C, C, 3, 7, 6, 8, 7, 1]
"B", [3, 4, A, 1, B, 2, C, 6, A, C, 5, 3]
"Coloring", {2, 3}
Delta Rank with R :
"tailcheck for rank 9"
Delta Rank with B :
8
vs
9
14
.
[1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [9, 5, A, 1, C, C, 3, 7, 6, 8, 7, 1]
"B", [3, 4, 1, 2, B, 2, C, 6, A, C, 5, 3]
"Coloring", {2, 4}
Delta Rank with R :
5
vs
9
Delta Rank with B :
"tailcheck for rank 9"
15
.
[1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1]
"R", [9, 5, A, 2, B, C, 3, 7, 6, 8, 7, 1]
"B", [3, 4, 1, 1, C, 2, C, 6, A, C, 5, 3]
"Coloring", {2, 5}
Delta Rank with R :
7
vs
11
Delta Rank with B :
"tailcheck for rank 8"
16
.
[1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1]
"R", [9, 5, A, 2, C, 2, 3, 7, 6, 8, 7, 1]
"B", [3, 4, 1, 1, B, C, C, 6, A, C, 5, 3]
"Coloring", {2, 6}
Delta Rank with R :
8
vs
10
Delta Rank with B :
"tailcheck for rank 8"
17
.
[1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1]
"R", [9, 5, A, 2, C, C, C, 7, 6, 8, 7, 1]
"B", [3, 4, 1, 1, B, 2, 3, 6, A, C, 5, 3]
"Coloring", {2, 7}
Delta Rank with R :
"tailcheck for rank 9"
Delta Rank with B :
"tailcheck for rank 9"
18
.
[1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1]
"R", [9, 5, A, 2, C, C, 3, 6, 6, 8, 7, 1]
"B", [3, 4, 1, 1, B, 2, C, 7, A, C, 5, 3]
"Coloring", {2, 8}
Delta Rank with R :
"tailcheck for rank 10"
Delta Rank with B :
"tailcheck for rank 9"
19
.
[1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1]
"R", [9, 5, A, 2, C, C, 3, 7, A, 8, 7, 1]
"B", [3, 4, 1, 1, B, 2, C, 6, 6, C, 5, 3]
"Coloring", {2, 9}
Delta Rank with R :
9
vs
9
Delta Rank with B :
"tailcheck for rank 8"
---> SYNC'D
` See graph `
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
1
|
|---|
| ν(Δ) |
|
1
|
|---|
| π |
|
[836, 246, 862, 123, 164, 369, 201, 320, 418, 640, 82, 687]
|
|---|
| Dbly Stoch |
| false |
|---|
| SANDWICH |
| Total
0
|
|---|
| No . | Coloring | Rank |
|---|
| RT GROUPS |
| Total
0
|
|---|
| No . | Coloring | Rank | Solv |
|---|
| RANK'D | SYNC'D NOT RANK'D |
τ-RANK'D | NOT SYNC'D |
Total Runs | 2n-1 |
|---|
|
0
|
0
|
1
|
0
|
19
|
2048
|