New Graph
[5, 5, 1, 5, 2], [3, 4, 5, 2, 1]
π =
[2, 2, 1, 1, 3]
POSSIBLE RANKS
1
x
9
3
x
3
NullSpace of Δ
{1, 2, 3, 4, 5}
Nullspace of A
` det(A) = ` -1/16
1
.
[1, 1, 1, 1, 1]
"R", [5, 5, 1, 5, 2]
"B", [3, 4, 5, 2, 1]
"Coloring", {}
Delta Rank with R :
3
vs
3
Delta Rank with B :
4
vs
5
` See graph `
---> RB-SYNC'D
2
.
[1, -1, 1, 1, 1]
"R", [5, 4, 1, 5, 2]
"B", [3, 5, 5, 2, 1]
"Coloring", {2}
Delta Rank with R :
2
vs
4
Delta Rank with B :
2
vs
4
` See graph `
NOT SYNC'D
3
.
[1, 1, -1, 1, 1]
"R", [5, 5, 5, 5, 2]
"B", [3, 4, 1, 2, 1]
"Coloring", {3}
Delta Rank with R :
2
vs
2
Delta Rank with B :
2
vs
4
` See graph `
---> RB-SYNC'D
4
.
[1, 1, 1, -1, 1]
"R", [5, 5, 1, 2, 2]
"B", [3, 4, 5, 5, 1]
"Coloring", {4}
Delta Rank with R :
3
vs
3
Delta Rank with B :
4
vs
4
` See graph `
---> RB-SYNC'D
5
.
[1, 1, 1, 1, -1]
"R", [5, 5, 1, 5, 1]
"B", [3, 4, 5, 2, 2]
"Coloring", {5}
Delta Rank with R :
2
vs
2
Delta Rank with B :
4
vs
4
` See graph `
---> RB-SYNC'D
6
.
[1, -1, -1, 1, 1]
"R", [5, 4, 5, 5, 2]
"B", [3, 5, 1, 2, 1]
"Coloring", {2, 3}
Delta Rank with R :
3
vs
3
Delta Rank with B :
4
vs
4
` See graph `
---> RB-SYNC'D
7
.
[1, -1, 1, -1, 1]
"R", [5, 4, 1, 2, 2]
"B", [3, 5, 5, 5, 1]
"Coloring", {2, 4}
Delta Rank with R :
4
vs
4
Delta Rank with B :
3
vs
3
` See graph `
---> RB-SYNC'D
8
.
[1, -1, 1, 1, -1]
"R", [5, 4, 1, 5, 1]
"B", [3, 5, 5, 2, 2]
"Coloring", {2, 5}
Delta Rank with R :
3
vs
3
Delta Rank with B :
3
vs
3
` See graph `
---> RB-SYNC'D
9
.
[1, 1, -1, -1, 1]
"R", [5, 5, 5, 2, 2]
"B", [3, 4, 1, 5, 1]
"Coloring", {3, 4}
Delta Rank with R :
2
vs
2
Delta Rank with B :
4
vs
4
` See graph `
---> RB-SYNC'D
10
.
[1, 1, -1, 1, -1]
"R", [5, 5, 5, 5, 1]
"B", [3, 4, 1, 2, 2]
"Coloring", {3, 5}
Delta Rank with R :
2
vs
2
Delta Rank with B :
2
vs
4
` See graph `
---> RB-SYNC'D
11
.
[1, 1, 1, -1, -1]
"R", [5, 5, 1, 2, 1]
"B", [3, 4, 5, 5, 2]
"Coloring", {4, 5}
Delta Rank with R :
3
vs
3
Delta Rank with B :
4
vs
4
` See graph `
---> RB-SYNC'D
12
.
[1, -1, -1, -1, 1]
"R", [5, 4, 5, 2, 2]
"B", [3, 5, 1, 5, 1]
"Coloring", {2, 3, 4}
Delta Rank with R :
3
vs
3
Delta Rank with B :
3
vs
3
` See graph `
---> RB-SYNC'D
13
.
[1, -1, -1, 1, -1]
"R", [5, 4, 5, 5, 1]
"B", [3, 5, 1, 2, 2]
"Coloring", {2, 3, 5}
Delta Rank with R :
3
vs
3
Delta Rank with B :
2
vs
4
` See graph `
---> RB-SYNC'D
14
.
[1, -1, 1, -1, -1]
"R", [5, 4, 1, 2, 1]
"B", [3, 5, 5, 5, 2]
"Coloring", {2, 4, 5}
Delta Rank with R :
2
vs
4
Delta Rank with B :
3
vs
3
` See graph `
---> RB-SYNC'D
15
.
[1, 1, -1, -1, -1]
"R", [5, 5, 5, 2, 1]
"B", [3, 4, 1, 5, 2]
"Coloring", {3, 4, 5}
Delta Rank with R :
3
vs
3
Delta Rank with B :
4
vs
5
` See graph `
---> RB-SYNC'D
16
.
[1, -1, -1, -1, -1]
"R", [5, 4, 5, 2, 1]
"B", [3, 5, 1, 5, 2]
"Coloring", {2, 3, 4, 5}
Delta Rank with R :
2
vs
4
Delta Rank with B :
2
vs
4
` See graph `
NOT SYNC'D
| SUMMARY |
|---|
| Graph Type |
| NOT CC |
|---|
| ν(A) |
|
0
|
|---|
| ν(Δ) |
|
1
|
|---|
| π |
|
[2, 2, 1, 1, 3]
|
|---|
| 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
|
14
|
2
|
16
|
16
|