New Graph
[2, 5, 6, F, 7, 3, 10, 4, A, 9, F, 8, 8, D, E, 1],
[E, 9, E, 5, C, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
π =
[7175, 10637, 6763, 4695, 7666, 10497, 6058, 9390, 10398, 5199, 3029, 3833,
4450, 8900, 3862, 4960]
POSSIBLE RANKS
1
x
107512
2
x
53756
4
x
26878
8
x
13439
89
x
1208
151
x
712
178
x
604
302
x
356
NullSpace of Δ
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}
Nullspace of A
[{4, 8, 9, 10, 11, 12, 13, 14, 15},{1, 2, 3, 5, 6, 7, 16}]
1
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 9, E, 5, C, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {}
Delta Rank with R :
6
vs
14
Delta Rank with B :
"tailcheck for rank 12"
2
.
[1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [2, 9, 6, F, 7, 3, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 5, E, 5, C, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {2}
Delta Rank with R :
10
vs
13
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]
"R", [2, 5, E, F, 7, 3, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 9, 6, 5, C, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {3}
Delta Rank with R :
7
vs
13
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]
"R", [2, 5, 6, 5, 7, 3, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 9, E, F, C, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {4}
Delta Rank with R :
11
vs
14
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", [2, 5, 6, F, C, 3, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 9, E, 5, 7, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {5}
Delta Rank with R :
11
vs
14
Delta Rank with B :
"tailcheck for rank 11"
6
.
[1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [2, 5, 6, F, 7, 8, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 9, E, 5, C, 3, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {6}
Delta Rank with R :
7
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", [2, 5, 6, F, 7, 3, B, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 9, E, 5, C, 8, 10, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {7}
Delta Rank with R :
11
vs
14
Delta Rank with B :
"tailcheck for rank 11"
8
.
[1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 1, A, 9, F, 8, 8, D, E, 1]
"B", [E, 9, E, 5, C, 8, B, 4, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {8}
Delta Rank with R :
10
vs
13
Delta Rank with B :
"tailcheck for rank 12"
9
.
[1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 4, 6, 9, F, 8, 8, D, E, 1]
"B", [E, 9, E, 5, C, 8, B, 1, A, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {9}
Delta Rank with R :
7
vs
13
Delta Rank with B :
"tailcheck for rank 13"
10
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 4, A, 2, F, 8, 8, D, E, 1]
"B", [E, 9, E, 5, C, 8, B, 1, 6, 9, 3, 6, 7, 2, 10, 9]
"Coloring", {10}
Delta Rank with R :
7
vs
13
Delta Rank with B :
"tailcheck for rank 12"
11
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 4, A, 9, 3, 8, 8, D, E, 1]
"B", [E, 9, E, 5, C, 8, B, 1, 6, 2, F, 6, 7, 2, 10, 9]
"Coloring", {11}
Delta Rank with R :
6
vs
14
Delta Rank with B :
"tailcheck for rank 12"
12
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 4, A, 9, F, 6, 8, D, E, 1]
"B", [E, 9, E, 5, C, 8, B, 1, 6, 2, 3, 8, 7, 2, 10, 9]
"Coloring", {12}
Delta Rank with R :
6
vs
14
Delta Rank with B :
"tailcheck for rank 12"
13
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 4, A, 9, F, 8, 7, D, E, 1]
"B", [E, 9, E, 5, C, 8, B, 1, 6, 2, 3, 6, 8, 2, 10, 9]
"Coloring", {13}
Delta Rank with R :
11
vs
14
Delta Rank with B :
"tailcheck for rank 11"
14
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 4, A, 9, F, 8, 8, 2, E, 1]
"B", [E, 9, E, 5, C, 8, B, 1, 6, 2, 3, 6, 7, D, 10, 9]
"Coloring", {14}
Delta Rank with R :
10
vs
13
Delta Rank with B :
"tailcheck for rank 13"
15
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1]
"R", [2, 5, 6, F, 7, 3, 10, 4, A, 9, F, 8, 8, D, 10, 1]
"B", [E, 9, E, 5, C, 8, B, 1, 6, 2, 3, 6, 7, 2, E, 9]
"Coloring", {15}
Delta Rank with R :
10
vs
13
Delta Rank with B :
"tailcheck for rank 11"
16
.
[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1]
"R", [2, 5, 6, F, 7, 3, 10, 4, A, 9, F, 8, 8, D, E, 9]
"B", [E, 9, E, 5, C, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 1]
"Coloring", {16}
Delta Rank with R :
10
vs
13
Delta Rank with B :
"tailcheck for rank 12"
17
.
[1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [2, 9, E, F, 7, 3, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 5, 6, 5, C, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {2, 3}
Delta Rank with R :
"tailcheck for rank 12"
Delta Rank with B :
"tailcheck for rank 12"
18
.
[1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [2, 9, 6, 5, 7, 3, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 5, E, F, C, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {2, 4}
Delta Rank with R :
12
vs
14
Delta Rank with B :
"tailcheck for rank 13"
19
.
[1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
"R", [2, 9, 6, F, C, 3, 10, 4, A, 9, F, 8, 8, D, E, 1]
"B", [E, 5, E, 5, 7, 8, B, 1, 6, 2, 3, 6, 7, 2, 10, 9]
"Coloring", {2, 5}
Delta Rank with R :
"tailcheck for rank 13"
Delta Rank with B :
11
vs
11
---> SYNC'D
` See graph `
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
1
|
|---|
| ν(Δ) |
|
1
|
|---|
| π |
|
[7175, 10637, 6763, 4695, 7666, 10497, 6058, 9390, 10398, 5199, 3029, 3833,
4450, 8900, 3862, 4960]
|
|---|
| 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
|
32768
|