New Graph
[2, 4, 4, 2, 6, 5], [3, 6, 5, 3, 1, 4]
π =
[1, 2, 2, 3, 2, 2]
POSSIBLE RANKS
1
x
12
2
x
6
3
x
4
NullSpace of Δ
{2, 3}, {1, 4, 5, 6}
Nullspace of A
[{3},{2}]
`,` [{5, 6},{1, 4}]
1
.
[1, 1, 1, 1, 1, 1]
"R", [2, 4, 4, 2, 6, 5]
"B", [3, 6, 5, 3, 1, 4]
"Coloring", {}
Delta Rank with R :
1
vs
4
Delta Rank with B :
3
vs
5
"B has hi rank 5 {{1, 3, 5}}"
` See graph `
2
.
[1, -1, 1, 1, 1, 1]
"R", [2, 6, 4, 2, 6, 5]
"B", [3, 4, 5, 3, 1, 4]
"Coloring", {2}
Delta Rank with R :
3
vs
4
Delta Rank with B :
4
vs
4
---> SYNC'D
` See graph `
3
.
[1, 1, -1, 1, 1, 1]
"R", [2, 4, 5, 2, 6, 5]
"B", [3, 6, 4, 3, 1, 4]
"Coloring", {3}
Delta Rank with R :
2
vs
4
Delta Rank with B :
"tailcheck for rank 4"
4
.
[1, 1, 1, -1, 1, 1]
"R", [2, 4, 4, 3, 6, 5]
"B", [3, 6, 5, 2, 1, 4]
"Coloring", {4}
Delta Rank with R :
2
vs
5
Delta Rank with B :
3
vs
6
"B has hi-est rank 6 {{1, 3, 5}, {2, 4, 6}}"
"R has hi rank 5 {{5, 6}, {3, 4}}"
` See graph `
5
.
[1, 1, 1, 1, -1, 1]
"R", [2, 4, 4, 2, 1, 5]
"B", [3, 6, 5, 3, 6, 4]
"Coloring", {5}
Delta Rank with R :
3
vs
4
Delta Rank with B :
2
vs
4
6
.
[1, 1, 1, 1, 1, -1]
"R", [2, 4, 4, 2, 6, 4]
"B", [3, 6, 5, 3, 1, 5]
"Coloring", {6}
Delta Rank with R :
2
vs
3
Delta Rank with B :
4
vs
4
---> SYNC'D
` See graph `
7
.
[1, -1, -1, 1, 1, 1]
"R", [2, 6, 5, 2, 6, 5]
"B", [3, 4, 4, 3, 1, 4]
"Coloring", {2, 3}
Delta Rank with R :
3
vs
3
Delta Rank with B :
3
vs
3
---> SYNC'D
` See graph `
8
.
[1, -1, 1, -1, 1, 1]
"R", [2, 6, 4, 3, 6, 5]
"B", [3, 4, 5, 2, 1, 4]
"Coloring", {2, 4}
Delta Rank with R :
3
vs
5
Delta Rank with B :
4
vs
5
"R has hi rank 5 {{3, 4}, {5, 6}}"
"B has hi rank 5 {{1, 3, 5}, {2, 4}}"
` See graph `
9
.
[1, -1, 1, 1, -1, 1]
"R", [2, 6, 4, 2, 1, 5]
"B", [3, 4, 5, 3, 6, 4]
"Coloring", {2, 5}
Delta Rank with R :
4
vs
5
Delta Rank with B :
3
vs
4
"R has hi rank 5 {{1, 2, 5, 6}}"
` See graph `
10
.
[1, -1, 1, 1, 1, -1]
"R", [2, 6, 4, 2, 6, 4]
"B", [3, 4, 5, 3, 1, 5]
"Coloring", {2, 6}
Delta Rank with R :
1
vs
3
Delta Rank with B :
2
vs
4
11
.
[1, 1, -1, -1, 1, 1]
"R", [2, 4, 5, 3, 6, 5]
"B", [3, 6, 4, 2, 1, 4]
"Coloring", {3, 4}
Delta Rank with R :
4
vs
5
Delta Rank with B :
5
vs
5
"R has hi rank 5 {{5, 6}}"
"B has hi rank 5 {{2, 4, 6}}"
` See graph `
---> SYNC'D
` See graph `
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
2
|
|---|
| ν(Δ) |
|
2
|
|---|
| π |
|
[1, 2, 2, 3, 2, 2]
|
|---|
| 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
|
4
|
0
|
10
|
32
|