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On this page are computer-accessible forms for the graph C4[ 88, 6 ] = SDD(W(11,2)).

(I) Following is a form readable by MAGMA:

g:=Graph<88|{ {40, 61}, {42, 63}, {33, 55}, {41, 63}, {40, 62}, {32, 55}, {41, 62}, {32, 56}, {34, 56}, {39, 61}, {38, 60}, {34, 57}, {39, 60}, {35, 56}, {36, 57}, {38, 59}, {36, 58}, {37, 59}, {37, 58}, {18, 50}, {20, 52}, {16, 49}, {19, 50}, {17, 51}, {23, 53}, {17, 50}, {23, 52}, {27, 63}, {10, 47}, {22, 51}, {9, 47}, {21, 51}, {24, 62}, {8, 47}, {20, 51}, {6, 46}, {21, 61}, {30, 54}, {4, 45}, {22, 63}, {7, 46}, {28, 53}, {31, 54}, {5, 47}, {29, 55}, {5, 46}, {29, 54}, {1, 45}, {24, 52}, {26, 54}, {16, 61}, {19, 62}, {25, 52}, {3, 45}, {18, 60}, {27, 53}, {1, 46}, {2, 45}, {26, 53}, {9, 57}, {10, 59}, {13, 60}, {15, 59}, {2, 55}, {12, 58}, {8, 48}, {3, 57}, {11, 49}, {11, 48}, {12, 48}, {14, 50}, {7, 58}, {13, 48}, {6, 56}, {15, 49}, {14, 49}, {3, 67}, {18, 82}, {5, 69}, {2, 67}, {5, 68}, {1, 67}, {6, 68}, {7, 68}, {22, 85}, {16, 83}, {1, 68}, {4, 66}, {21, 83}, {14, 72}, {9, 79}, {4, 67}, {19, 84}, {31, 88}, {6, 78}, {15, 71}, {30, 86}, {14, 71}, {12, 70}, {13, 70}, {28, 87}, {3, 79}, {11, 71}, {9, 69}, {24, 84}, {8, 69}, {11, 70}, {8, 70}, {27, 85}, {2, 77}, {10, 69}, {25, 86}, {27, 75}, {29, 77}, {26, 75}, {29, 76}, {24, 74}, {30, 76}, {25, 74}, {31, 76}, {26, 76}, {7, 80}, {16, 71}, {28, 75}, {17, 73}, {17, 72}, {25, 64}, {18, 72}, {10, 81}, {19, 72}, {4, 88}, {23, 75}, {21, 73}, {12, 80}, {20, 73}, {23, 74}, {28, 65}, {31, 66}, {15, 81}, {20, 74}, {30, 64}, {13, 82}, {22, 73}, {33, 65}, {35, 66}, {42, 64}, {43, 65}, {36, 79}, {43, 64}, {33, 77}, {34, 78}, {32, 77}, {44, 65}, {34, 79}, {35, 78}, {32, 78}, {44, 66}, {36, 80}, {44, 88}, {39, 83}, {38, 82}, {37, 81}, {37, 80}, {39, 82}, {33, 87}, {38, 81}, {35, 88}, {44, 87}, {40, 83}, {40, 84}, {43, 87}, {42, 86}, {41, 85}, {41, 84}, {43, 86}, {42, 85} }>;

(II) A more general form is to represent the graph as the orbit of {40, 61} under the group generated by the following permutations:

a: (57, 79)
b: (8, 10)(11, 15)(12, 37)(13, 38)(48, 59)(70, 81)
c: (58, 80)
d: (23, 25)(26, 30)(27, 42)(28, 43)(53, 64)(75, 86)
e: (17, 19)(20, 24)(21, 40)(22, 41)(51, 62)(73, 84)
f: (63, 85)
g: (56, 78)
h: (45, 67)
m: (20, 22)(23, 27)(24, 41)(25, 42)(52, 63)(74, 85)
n1: (66, 88)
a1: (65, 87)
b1: (1, 2, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 32, 31, 28, 25, 22, 19, 16, 13, 10, 7)(4, 33, 30, 27, 24, 21, 18, 15, 12, 9, 6)(34, 35, 44, 43, 42, 41, 40, 39, 38, 37, 36)(45, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46)(56, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57)(67, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68)(78, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79)
c1: (26, 28)(29, 33)(30, 43)(31, 44)(54, 65)(76, 87)
d1: (2, 5)(3, 6)(4, 7)(8, 29)(9, 32)(10, 33)(11, 26)(12, 31)(13, 30)(14, 23)(15, 28)(16, 27)(17, 20)(18, 25)(19, 24)(21, 22)(35, 36)(37, 44)(38, 43)(39, 42)(40, 41)(45, 46)(47, 55)(48, 54)(49, 53)(50, 52)(56, 57)(58, 66)(59, 65)(60, 64)(61, 63)(67, 68)(69, 77)(70, 76)(71, 75)(72, 74)(78, 79)(80, 88)(81, 87)(82, 86)(83, 85)
e1: (2, 4)(29, 31)(32, 35)(33, 44)(55, 66)(77, 88)
f1: (46, 68)
g1: (11, 13)(14, 18)(15, 38)(16, 39)(49, 60)(71, 82)
h1: (61, 83)
m1: (60, 82)
n2: (59, 81)
a2: (64, 86)
b2: (62, 84)
c2: (14, 16)(17, 21)(18, 39)(19, 40)(50, 61)(72, 83)

(III) Last is Groups&Graphs. Copy everything between (not including) the lines of asterisks into a plain text file and save it as "graph.txt". Then launch G&G (Groups&Graphs) and select Read Text from the File menu.

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&Graph
C4[ 88, 6 ]
88
-1 45 67 46 68
-2 55 77 45 67
-3 45 67 57 79
-4 66 88 45 67
-5 46 68 47 69
-6 56 78 46 68
-7 46 68 58 80
-8 47 69 48 70
-9 57 79 47 69
-10 47 69 59 81
-11 48 70 49 71
-12 58 80 48 70
-13 48 70 60 82
-14 49 71 50 72
-15 59 81 49 71
-16 49 71 61 83
-17 50 72 51 73
-18 60 82 50 72
-19 50 72 62 84
-20 51 73 52 74
-21 61 83 51 73
-22 51 73 63 85
-23 52 74 53 75
-24 62 84 52 74
-25 52 74 64 86
-26 53 75 54 76
-27 63 85 53 75
-28 53 75 65 87
-29 55 77 54 76
-30 64 86 54 76
-31 66 88 54 76
-32 55 77 56 78
-33 55 77 65 87
-34 56 78 57 79
-35 66 88 56 78
-36 57 79 58 80
-37 58 80 59 81
-38 59 81 60 82
-39 60 82 61 83
-40 61 83 62 84
-41 62 84 63 85
-42 63 85 64 86
-43 64 86 65 87
-44 66 88 65 87
-45 1 2 3 4
-46 1 5 6 7
-47 5 8 9 10
-48 11 12 13 8
-49 11 14 15 16
-50 14 17 18 19
-51 22 17 20 21
-52 23 24 25 20
-53 23 26 27 28
-54 26 29 30 31
-55 33 2 29 32
-56 34 35 6 32
-57 34 3 36 9
-58 12 36 37 7
-59 15 37 38 10
-60 13 38 39 18
-61 16 39 40 21
-62 24 40 19 41
-63 22 27 41 42
-64 25 30 42 43
-65 33 44 28 43
-66 44 35 4 31
-67 1 2 3 4
-68 1 5 6 7
-69 5 8 9 10
-70 11 12 13 8
-71 11 14 15 16
-72 14 17 18 19
-73 22 17 20 21
-74 23 24 25 20
-75 23 26 27 28
-76 26 29 30 31
-77 33 2 29 32
-78 34 35 6 32
-79 34 3 36 9
-80 12 36 37 7
-81 15 37 38 10
-82 13 38 39 18
-83 16 39 40 21
-84 24 40 19 41
-85 22 27 41 42
-86 25 30 42 43
-87 33 44 28 43
-88 44 35 4 31
0

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