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