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On this page are computer-accessible forms for the graph C4[ 88, 1 ] = W(44,2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

a: (18, 62)
b: (27, 71)
c: (23, 67)
d: (28, 72)
e: (37, 81)
f: (9, 53)
g: (2, 44)(3, 43)(4, 42)(5, 41)(6, 40)(7, 39)(8, 38)(9, 37)(10, 36)(11, 35)(12, 34)(13, 33)(14, 32)(15, 31)(16, 30)(17, 29)(18, 28)(19, 27)(20, 26)(21, 25)(22, 24)(46, 88)(47, 87)(48, 86)(49, 85)(50, 84)(51, 83)(52, 82)(53, 81)(54, 80)(55, 79)(56, 78)(57, 77)(58, 76)(59, 75)(60, 74)(61, 73)(62, 72)(63, 71)(64, 70)(65, 69)(66, 68)
h: (19, 63)
m: (35, 79)
n1: (30, 74)
a1: (34, 78)
b1: (6, 50)
c1: (13, 57)
d1: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44)(45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88)
e1: (4, 48)
f1: (15, 59)
g1: (14, 58)
h1: (24, 68)
m1: (41, 85)
n2: (8, 52)
a2: (36, 80)
b2: (43, 87)
c2: (3, 47)
d2: (44, 88)
e2: (12, 56)
f2: (26, 70)
g2: (32, 76)
h2: (11, 55)
m2: (7, 51)
n3: (20, 64)
a3: (22, 66)
b3: (2, 46)
c3: (40, 84)
d3: (29, 73)
e3: (39, 83)
f3: (42, 86)
g3: (10, 54)
h3: (33, 77)
m3: (25, 69)
n4: (16, 60)
a4: (5, 49)
b4: (38, 82)
c4: (31, 75)
d4: (17, 61)

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

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