New Graph

             [3, 3, 1, 1, 7, 7, 5, 5], [6, 8, 8, 6, 2, 4, 4, 2]
                                 

 


 

π = [1, 1, 1, 1, 1, 1, 1, 1]

POSSIBLE RANKS

1 x 8
2 x 4
NullSpace of Δ

{1, 3, 6, 8}, {2, 4, 5, 7}

Nullspace of A

[{5, 7},{2, 4}] `,` [{6, 8},{1, 3}]

 

1 . [1, 1, 1, 1, 1, 1, 1, 1]
"R", [3, 3, 1, 1, 7, 7, 5, 5]
"B", [6, 8, 8, 6, 2, 4, 4, 2]
"Coloring", {}

Delta Rank with R :  1 vs 4
Delta Rank with B :  1 vs 4


2 . [1, -1, 1, 1, 1, 1, 1, 1]
"R", [3, 8, 1, 1, 7, 7, 5, 5]
"B", [6, 3, 8, 6, 2, 4, 4, 2]
"Coloring", {2}

Delta Rank with R :  3 vs 5
Delta Rank with B :  3 vs 5


3 . [1, 1, -1, 1, 1, 1, 1, 1]
"R", [3, 3, 8, 1, 7, 7, 5, 5]
"B", [6, 8, 1, 6, 2, 4, 4, 2]
"Coloring", {3}

Delta Rank with R :  4 vs 5
Delta Rank with B :  3 vs 5


4 . [1, 1, 1, -1, 1, 1, 1, 1]
"R", [3, 3, 1, 6, 7, 7, 5, 5]
"B", [6, 8, 8, 1, 2, 4, 4, 2]
"Coloring", {4}

Delta Rank with R :  3 vs 5
Delta Rank with B :  3 vs 5


5 . [1, 1, 1, 1, -1, 1, 1, 1]
"R", [3, 3, 1, 1, 2, 7, 5, 5]
"B", [6, 8, 8, 6, 7, 4, 4, 2]
"Coloring", {5}

Delta Rank with R :  4 vs 5
Delta Rank with B :  3 vs 5


6 . [1, 1, 1, 1, 1, -1, 1, 1]
"R", [3, 3, 1, 1, 7, 4, 5, 5]
"B", [6, 8, 8, 6, 2, 7, 4, 2]
"Coloring", {6}

Delta Rank with R :  3 vs 5
Delta Rank with B :  3 vs 5


7 . [1, 1, 1, 1, 1, 1, -1, 1]
"R", [3, 3, 1, 1, 7, 7, 4, 5]
"B", [6, 8, 8, 6, 2, 4, 5, 2]
"Coloring", {7}

Delta Rank with R :  4 vs 5
Delta Rank with B :  3 vs 5


8 . [1, 1, 1, 1, 1, 1, 1, -1]
"R", [3, 3, 1, 1, 7, 7, 5, 2]
"B", [6, 8, 8, 6, 2, 4, 4, 5]
"Coloring", {8}

Delta Rank with R :  3 vs 5
Delta Rank with B :  3 vs 5


9 . [1, -1, -1, 1, 1, 1, 1, 1]
"R", [3, 8, 8, 1, 7, 7, 5, 5]
"B", [6, 3, 1, 6, 2, 4, 4, 2]
"Coloring", {2, 3}

Delta Rank with R :  5 vs 5
Delta Rank with B :  5 vs 5

 --->  SYNC'D ` See graph

`
10 . [1, -1, 1, -1, 1, 1, 1, 1]
"R", [3, 8, 1, 6, 7, 7, 5, 5]
"B", [6, 3, 8, 1, 2, 4, 4, 2]
"Coloring", {2, 4}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  3 vs 6


11 . [1, -1, 1, 1, -1, 1, 1, 1]
"R", [3, 8, 1, 1, 2, 7, 5, 5]
"B", [6, 3, 8, 6, 7, 4, 4, 2]
"Coloring", {2, 5}

Delta Rank with R :  5 vs 6
Delta Rank with B :  3 vs 6


12 . [1, -1, 1, 1, 1, -1, 1, 1]
"R", [3, 8, 1, 1, 7, 4, 5, 5]
"B", [6, 3, 8, 6, 2, 7, 4, 2]
"Coloring", {2, 6}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  3 vs 6


13 . [1, -1, 1, 1, 1, 1, -1, 1]
"R", [3, 8, 1, 1, 7, 7, 4, 5]
"B", [6, 3, 8, 6, 2, 4, 5, 2]
"Coloring", {2, 7}

Delta Rank with R :  6 vs 6
Delta Rank with B :  5 vs 6

 --->  SYNC'D ` See graph

`
14 . [1, -1, 1, 1, 1, 1, 1, -1]
"R", [3, 8, 1, 1, 7, 7, 5, 2]
"B", [6, 3, 8, 6, 2, 4, 4, 5]
"Coloring", {2, 8}

Delta Rank with R :  2 vs 6
Delta Rank with B :  1 vs 6


15 . [1, 1, -1, -1, 1, 1, 1, 1]
"R", [3, 3, 8, 6, 7, 7, 5, 5]
"B", [6, 8, 1, 1, 2, 4, 4, 2]
"Coloring", {3, 4}

Delta Rank with R :  "tailcheck for rank 5"
Delta Rank with B :  4 vs 5


16 . [1, 1, -1, 1, -1, 1, 1, 1]
"R", [3, 3, 8, 1, 2, 7, 5, 5]
"B", [6, 8, 1, 6, 7, 4, 4, 2]
"Coloring", {3, 5}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  "tailcheck for rank 6"


17 . [1, 1, -1, 1, 1, -1, 1, 1]
"R", [3, 3, 8, 1, 7, 4, 5, 5]
"B", [6, 8, 1, 6, 2, 7, 4, 2]
"Coloring", {3, 6}

Delta Rank with R :  6 vs 6
Delta Rank with B :  5 vs 6

 --->  SYNC'D ` See graph

`
18 . [1, 1, -1, 1, 1, 1, -1, 1]
"R", [3, 3, 8, 1, 7, 7, 4, 5]
"B", [6, 8, 1, 6, 2, 4, 5, 2]
"Coloring", {3, 7}

Delta Rank with R :  3 vs 6
Delta Rank with B :  "tailcheck for rank 6"


19 . [1, 1, -1, 1, 1, 1, 1, -1]
"R", [3, 3, 8, 1, 7, 7, 5, 2]
"B", [6, 8, 1, 6, 2, 4, 4, 5]
"Coloring", {3, 8}

Delta Rank with R :  5 vs 6
Delta Rank with B :  3 vs 6


20 . [1, 1, 1, -1, -1, 1, 1, 1]
"R", [3, 3, 1, 6, 2, 7, 5, 5]
"B", [6, 8, 8, 1, 7, 4, 4, 2]
"Coloring", {4, 5}

Delta Rank with R :  6 vs 6
Delta Rank with B :  5 vs 6

 --->  SYNC'D ` See graph

`
21 . [1, 1, 1, -1, 1, -1, 1, 1]
"R", [3, 3, 1, 6, 7, 4, 5, 5]
"B", [6, 8, 8, 1, 2, 7, 4, 2]
"Coloring", {4, 6}

Delta Rank with R :  2 vs 6
Delta Rank with B :  1 vs 6


22 . [1, 1, 1, -1, 1, 1, -1, 1]
"R", [3, 3, 1, 6, 7, 7, 4, 5]
"B", [6, 8, 8, 1, 2, 4, 5, 2]
"Coloring", {4, 7}

Delta Rank with R :  5 vs 6
Delta Rank with B :  3 vs 6


23 . [1, 1, 1, -1, 1, 1, 1, -1]
"R", [3, 3, 1, 6, 7, 7, 5, 2]
"B", [6, 8, 8, 1, 2, 4, 4, 5]
"Coloring", {4, 8}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  3 vs 6


24 . [1, 1, 1, 1, -1, -1, 1, 1]
"R", [3, 3, 1, 1, 2, 4, 5, 5]
"B", [6, 8, 8, 6, 7, 7, 4, 2]
"Coloring", {5, 6}

Delta Rank with R :  "tailcheck for rank 5"
Delta Rank with B :  4 vs 5


25 . [1, 1, 1, 1, -1, 1, -1, 1]
"R", [3, 3, 1, 1, 2, 7, 4, 5]
"B", [6, 8, 8, 6, 7, 4, 5, 2]
"Coloring", {5, 7}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  2 vs 6


26 . [1, 1, 1, 1, -1, 1, 1, -1]
"R", [3, 3, 1, 1, 2, 7, 5, 2]
"B", [6, 8, 8, 6, 7, 4, 4, 5]
"Coloring", {5, 8}

Delta Rank with R :  5 vs 5
Delta Rank with B :  5 vs 5

 --->  SYNC'D ` See graph

`
27 . [1, 1, 1, 1, 1, -1, -1, 1]
"R", [3, 3, 1, 1, 7, 4, 4, 5]
"B", [6, 8, 8, 6, 2, 7, 5, 2]
"Coloring", {6, 7}

Delta Rank with R :  5 vs 5
Delta Rank with B :  5 vs 5

 --->  SYNC'D ` See graph

`
28 . [1, 1, 1, 1, 1, -1, 1, -1]
"R", [3, 3, 1, 1, 7, 4, 5, 2]
"B", [6, 8, 8, 6, 2, 7, 4, 5]
"Coloring", {6, 8}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  3 vs 6


29 . [1, 1, 1, 1, 1, 1, -1, -1]
"R", [3, 3, 1, 1, 7, 7, 4, 2]
"B", [6, 8, 8, 6, 2, 4, 5, 5]
"Coloring", {7, 8}

Delta Rank with R :  "tailcheck for rank 5"
Delta Rank with B :  4 vs 5


30 . [1, -1, -1, -1, 1, 1, 1, 1]
"R", [3, 8, 8, 6, 7, 7, 5, 5]
"B", [6, 3, 1, 1, 2, 4, 4, 2]
"Coloring", {2, 3, 4}

Delta Rank with R :  "tailcheck for rank 5"
Delta Rank with B :  5 vs 5

 --->  SYNC'D ` See graph

`
31 . [1, -1, -1, 1, -1, 1, 1, 1]
"R", [3, 8, 8, 1, 2, 7, 5, 5]
"B", [6, 3, 1, 6, 7, 4, 4, 2]
"Coloring", {2, 3, 5}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  "tailcheck for rank 6"


32 . [1, -1, -1, 1, 1, -1, 1, 1]
"R", [3, 8, 8, 1, 7, 4, 5, 5]
"B", [6, 3, 1, 6, 2, 7, 4, 2]
"Coloring", {2, 3, 6}

Delta Rank with R :  5 vs 6
Delta Rank with B :  6 vs 6

 --->  SYNC'D ` See graph

`
33 . [1, -1, -1, 1, 1, 1, -1, 1]
"R", [3, 8, 8, 1, 7, 7, 4, 5]
"B", [6, 3, 1, 6, 2, 4, 5, 2]
"Coloring", {2, 3, 7}

Delta Rank with R :  6 vs 6
Delta Rank with B :  5 vs 6

 --->  SYNC'D ` See graph

`
34 . [1, -1, -1, 1, 1, 1, 1, -1]
"R", [3, 8, 8, 1, 7, 7, 5, 2]
"B", [6, 3, 1, 6, 2, 4, 4, 5]
"Coloring", {2, 3, 8}

Delta Rank with R :  4 vs 6
Delta Rank with B :  5 vs 6


35 . [1, -1, 1, -1, -1, 1, 1, 1]
"R", [3, 8, 1, 6, 2, 7, 5, 5]
"B", [6, 3, 8, 1, 7, 4, 4, 2]
"Coloring", {2, 4, 5}

Delta Rank with R :  3 vs 7
Delta Rank with B :  4 vs 7

"R has hi rank 7 {{1, 3}, {2, 5, 8}}" "B has hi rank 7 {{1, 4, 6}, {2, 3, 8}}" ` See graph

`
36 . [1, -1, 1, -1, 1, -1, 1, 1]
"R", [3, 8, 1, 6, 7, 4, 5, 5]
"B", [6, 3, 8, 1, 2, 7, 4, 2]
"Coloring", {2, 4, 6}

Delta Rank with R :  2 vs 7
Delta Rank with B :  3 vs 7

"R has hi rank 7 {{1, 3}, {5, 7}, {4, 6}}" "B has hi rank 7 {{1, 4, 6, 7}, {2, 3, 8}}" ` See graph

`
37 . [1, -1, 1, -1, 1, 1, -1, 1]
"R", [3, 8, 1, 6, 7, 7, 4, 5]
"B", [6, 3, 8, 1, 2, 4, 5, 2]
"Coloring", {2, 4, 7}

Delta Rank with R :  3 vs 7
Delta Rank with B :  4 vs 7

"R has hi rank 7 {{1, 3}, {4, 6, 7}}" "B has hi rank 7 {{1, 4, 6}, {2, 3, 8}}" ` See graph

`
38 . [1, -1, 1, -1, 1, 1, 1, -1]
"R", [3, 8, 1, 6, 7, 7, 5, 2]
"B", [6, 3, 8, 1, 2, 4, 4, 5]
"Coloring", {2, 4, 8}

Delta Rank with R :  2 vs 7
Delta Rank with B :  3 vs 7

"R has hi rank 7 {{1, 3}, {2, 8}, {5, 7}}" "B has hi rank 7 {{1, 4, 6}, {2, 3, 5, 8}}" ` See graph

`
39 . [1, -1, 1, 1, -1, -1, 1, 1]
"R", [3, 8, 1, 1, 2, 4, 5, 5]
"B", [6, 3, 8, 6, 7, 7, 4, 2]
"Coloring", {2, 5, 6}

Delta Rank with R :  4 vs 6
Delta Rank with B :  3 vs 6


40 . [1, -1, 1, 1, -1, 1, -1, 1]
"R", [3, 8, 1, 1, 2, 7, 4, 5]
"B", [6, 3, 8, 6, 7, 4, 5, 2]
"Coloring", {2, 5, 7}

Delta Rank with R :  4 vs 7
Delta Rank with B :  2 vs 7

"R has hi rank 7 {{1, 3}, {2, 5, 8}}" "B has hi rank 7 {{4, 6}, {2, 3, 8}, {5, 7}}" ` See graph

`
41 . [1, -1, 1, 1, -1, 1, 1, -1]
"R", [3, 8, 1, 1, 2, 7, 5, 2]
"B", [6, 3, 8, 6, 7, 4, 4, 5]
"Coloring", {2, 5, 8}

Delta Rank with R :  4 vs 6
Delta Rank with B :  5 vs 6


42 . [1, -1, 1, 1, 1, -1, -1, 1]
"R", [3, 8, 1, 1, 7, 4, 4, 5]
"B", [6, 3, 8, 6, 2, 7, 5, 2]
"Coloring", {2, 6, 7}

Delta Rank with R :  5 vs 6
Delta Rank with B :  6 vs 6

 --->  SYNC'D ` See graph

`
43 . [1, -1, 1, 1, 1, -1, 1, -1]
"R", [3, 8, 1, 1, 7, 4, 5, 2]
"B", [6, 3, 8, 6, 2, 7, 4, 5]
"Coloring", {2, 6, 8}

Delta Rank with R :  2 vs 7
Delta Rank with B :  3 vs 7

"R has hi rank 7 {{1, 3}, {2, 8}, {5, 7}}" "B has hi rank 7 {{2, 3, 5, 8}, {4, 6, 7}}" ` See graph

`
44 . [1, -1, 1, 1, 1, 1, -1, -1]
"R", [3, 8, 1, 1, 7, 7, 4, 2]
"B", [6, 3, 8, 6, 2, 4, 5, 5]
"Coloring", {2, 7, 8}

Delta Rank with R :  4 vs 6
Delta Rank with B :  4 vs 6


45 . [1, 1, -1, -1, -1, 1, 1, 1]
"R", [3, 3, 8, 6, 2, 7, 5, 5]
"B", [6, 8, 1, 1, 7, 4, 4, 2]
"Coloring", {3, 4, 5}

Delta Rank with R :  6 vs 6
Delta Rank with B :  2 vs 6

 --->  SYNC'D ` See graph

`
46 . [1, 1, -1, -1, 1, -1, 1, 1]
"R", [3, 3, 8, 6, 7, 4, 5, 5]
"B", [6, 8, 1, 1, 2, 7, 4, 2]
"Coloring", {3, 4, 6}

Delta Rank with R :  4 vs 6
Delta Rank with B :  4 vs 6


47 . [1, 1, -1, -1, 1, 1, -1, 1]
"R", [3, 3, 8, 6, 7, 7, 4, 5]
"B", [6, 8, 1, 1, 2, 4, 5, 2]
"Coloring", {3, 4, 7}

Delta Rank with R :  6 vs 6
Delta Rank with B :  4 vs 6

 --->  SYNC'D ` See graph

`
48 . [1, 1, -1, -1, 1, 1, 1, -1]
"R", [3, 3, 8, 6, 7, 7, 5, 2]
"B", [6, 8, 1, 1, 2, 4, 4, 5]
"Coloring", {3, 4, 8}

Delta Rank with R :  4 vs 6
Delta Rank with B :  3 vs 6


49 . [1, 1, -1, 1, -1, -1, 1, 1]
"R", [3, 3, 8, 1, 2, 4, 5, 5]
"B", [6, 8, 1, 6, 7, 7, 4, 2]
"Coloring", {3, 5, 6}

Delta Rank with R :  6 vs 6
Delta Rank with B :  2 vs 6

 --->  SYNC'D ` See graph

`
50 . [1, 1, -1, 1, -1, 1, -1, 1]
"R", [3, 3, 8, 1, 2, 7, 4, 5]
"B", [6, 8, 1, 6, 7, 4, 5, 2]
"Coloring", {3, 5, 7}

Delta Rank with R :  4 vs 7
Delta Rank with B :  2 vs 7

"R has hi rank 7 {{2, 3, 5, 8}}" "B has hi rank 7 {{4, 6}, {2, 8}, {5, 7}}" ` See graph

`
51 . [1, 1, -1, 1, -1, 1, 1, -1]
"R", [3, 3, 8, 1, 2, 7, 5, 2]
"B", [6, 8, 1, 6, 7, 4, 4, 5]
"Coloring", {3, 5, 8}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  "tailcheck for rank 6"


52 . [1, 1, -1, 1, 1, -1, -1, 1]
"R", [3, 3, 8, 1, 7, 4, 4, 5]
"B", [6, 8, 1, 6, 2, 7, 5, 2]
"Coloring", {3, 6, 7}

Delta Rank with R :  6 vs 6
Delta Rank with B :  5 vs 6

 --->  SYNC'D ` See graph

`
53 . [1, 1, -1, 1, 1, -1, 1, -1]
"R", [3, 3, 8, 1, 7, 4, 5, 2]
"B", [6, 8, 1, 6, 2, 7, 4, 5]
"Coloring", {3, 6, 8}

Delta Rank with R :  3 vs 7
Delta Rank with B :  4 vs 7

"R has hi rank 7 {{2, 3, 8}, {5, 7}}" "B has hi rank 7 {{4, 6, 7}, {2, 5, 8}}" ` See graph

`
54 . [1, 1, -1, 1, 1, 1, -1, -1]
"R", [3, 3, 8, 1, 7, 7, 4, 2]
"B", [6, 8, 1, 6, 2, 4, 5, 5]
"Coloring", {3, 7, 8}

Delta Rank with R :  6 vs 6
Delta Rank with B :  4 vs 6

 --->  SYNC'D ` See graph

`
55 . [1, 1, 1, -1, -1, -1, 1, 1]
"R", [3, 3, 1, 6, 2, 4, 5, 5]
"B", [6, 8, 8, 1, 7, 7, 4, 2]
"Coloring", {4, 5, 6}

Delta Rank with R :  4 vs 6
Delta Rank with B :  4 vs 6


56 . [1, 1, 1, -1, -1, 1, -1, 1]
"R", [3, 3, 1, 6, 2, 7, 4, 5]
"B", [6, 8, 8, 1, 7, 4, 5, 2]
"Coloring", {4, 5, 7}

Delta Rank with R :  4 vs 7
Delta Rank with B :  2 vs 7

"R has hi rank 7 {{1, 3}, {4, 6, 7}}" "B has hi rank 7 {{1, 4, 6}, {2, 8}, {5, 7}}" ` See graph

`
57 . [1, 1, 1, -1, -1, 1, 1, -1]
"R", [3, 3, 1, 6, 2, 7, 5, 2]
"B", [6, 8, 8, 1, 7, 4, 4, 5]
"Coloring", {4, 5, 8}

Delta Rank with R :  5 vs 6
Delta Rank with B :  6 vs 6

 --->  SYNC'D ` See graph

`
58 . [1, 1, 1, -1, 1, -1, -1, 1]
"R", [3, 3, 1, 6, 7, 4, 4, 5]
"B", [6, 8, 8, 1, 2, 7, 5, 2]
"Coloring", {4, 6, 7}

Delta Rank with R :  4 vs 6
Delta Rank with B :  5 vs 6


59 . [1, 1, 1, -1, 1, -1, 1, -1]
"R", [3, 3, 1, 6, 7, 4, 5, 2]
"B", [6, 8, 8, 1, 2, 7, 4, 5]
"Coloring", {4, 6, 8}

Delta Rank with R :  2 vs 7
Delta Rank with B :  3 vs 7

"R has hi rank 7 {{4, 6}, {5, 7}, {1, 3}}" "B has hi rank 7 {{1, 4, 6, 7}, {2, 5, 8}}" ` See graph

`
60 . [1, 1, 1, -1, 1, 1, -1, -1]
"R", [3, 3, 1, 6, 7, 7, 4, 2]
"B", [6, 8, 8, 1, 2, 4, 5, 5]
"Coloring", {4, 7, 8}

Delta Rank with R :  4 vs 6
Delta Rank with B :  3 vs 6


61 . [1, 1, 1, 1, -1, -1, -1, 1]
"R", [3, 3, 1, 1, 2, 4, 4, 5]
"B", [6, 8, 8, 6, 7, 7, 5, 2]
"Coloring", {5, 6, 7}

Delta Rank with R :  "tailcheck for rank 5"
Delta Rank with B :  3 vs 5


62 . [1, 1, 1, 1, -1, -1, 1, -1]
"R", [3, 3, 1, 1, 2, 4, 5, 2]
"B", [6, 8, 8, 6, 7, 7, 4, 5]
"Coloring", {5, 6, 8}

Delta Rank with R :  "tailcheck for rank 5"
Delta Rank with B :  5 vs 5

 --->  SYNC'D ` See graph

`
63 . [1, 1, 1, 1, -1, 1, -1, -1]
"R", [3, 3, 1, 1, 2, 7, 4, 2]
"B", [6, 8, 8, 6, 7, 4, 5, 5]
"Coloring", {5, 7, 8}

Delta Rank with R :  "tailcheck for rank 5"
Delta Rank with B :  3 vs 5


64 . [1, 1, 1, 1, 1, -1, -1, -1]
"R", [3, 3, 1, 1, 7, 4, 4, 2]
"B", [6, 8, 8, 6, 2, 7, 5, 5]
"Coloring", {6, 7, 8}

Delta Rank with R :  "tailcheck for rank 5"
Delta Rank with B :  5 vs 5

 --->  SYNC'D ` See graph

`
65 . [1, -1, -1, -1, -1, 1, 1, 1]
"R", [3, 8, 8, 6, 2, 7, 5, 5]
"B", [6, 3, 1, 1, 7, 4, 4, 2]
"Coloring", {2, 3, 4, 5}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  "tailcheck for rank 6"


66 . [1, -1, -1, -1, 1, -1, 1, 1]
"R", [3, 8, 8, 6, 7, 4, 5, 5]
"B", [6, 3, 1, 1, 2, 7, 4, 2]
"Coloring", {2, 3, 4, 6}

Delta Rank with R :  3 vs 6
Delta Rank with B :  6 vs 6

 --->  SYNC'D ` See graph

`
67 . [1, -1, -1, -1, 1, 1, -1, 1]
"R", [3, 8, 8, 6, 7, 7, 4, 5]
"B", [6, 3, 1, 1, 2, 4, 5, 2]
"Coloring", {2, 3, 4, 7}

Delta Rank with R :  6 vs 6
Delta Rank with B :  6 vs 6

 --->  SYNC'D ` See graph

`
68 . [1, -1, -1, -1, 1, 1, 1, -1]
"R", [3, 8, 8, 6, 7, 7, 5, 2]
"B", [6, 3, 1, 1, 2, 4, 4, 5]
"Coloring", {2, 3, 4, 8}

Delta Rank with R :  "tailcheck for rank 6"
Delta Rank with B :  6 vs 6

 --->  SYNC'D ` See graph

`
69 . [1, -1, -1, 1, -1, -1, 1, 1]
"R", [3, 8, 8, 1, 2, 4, 5, 5]
"B", [6, 3, 1, 6, 7, 7, 4, 2]
"Coloring", {2, 3, 5, 6}

Delta Rank with R :  6 vs 6
Delta Rank with B :  6 vs 6

 --->  SYNC'D ` See graph

`
70 . [1, -1, -1, 1, -1, 1, -1, 1]
"R", [3, 8, 8, 1, 2, 7, 4, 5]
"B", [6, 3, 1, 6, 7, 4, 5, 2]
"Coloring", {2, 3, 5, 7}

Delta Rank with R :  7 vs 7
Delta Rank with B :  4 vs 7

"R has hi rank 7 {{2, 5, 8}}" "B has hi rank 7 {{4, 6}, {5, 7}}" ` See graph

`  --->  SYNC'D ` See graph

`


 
SUMMARY
Graph Type
CC
ν(A)
2
ν(Δ)
2
π
[1, 1, 1, 1, 1, 1, 1, 1]
Dbly Stoch
true

 
SANDWICH
Total 0
No .ColoringRank

 
RT GROUPS
Total 0
No .ColoringRankSolv

 

RANK'DSYNC'D NOT RANK'D τ-RANK'DNOT SYNC'D Total Runs2n-1
0 0 23 0 69 128