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On this page are computer-accessible forms for the graph C4[ 96, 6 ] = {4,4}_[12,4].

(I) Following is a form readable by MAGMA:

g:=Graph<96|{ {2, 3}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {32, 33}, {30, 31}, {28, 29}, {26, 27}, {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}, {50, 51}, {52, 53}, {54, 55}, {56, 57}, {58, 59}, {60, 61}, {62, 63}, {1, 2}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {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}, {3, 4}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {7, 8}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {1, 25}, {71, 95}, {70, 94}, {69, 93}, {68, 92}, {67, 91}, {66, 90}, {65, 89}, {64, 88}, {32, 56}, {2, 26}, {3, 27}, {4, 28}, {5, 29}, {6, 30}, {7, 31}, {33, 57}, {34, 58}, {35, 59}, {36, 60}, {37, 61}, {38, 62}, {39, 63}, {1, 24}, {15, 16}, {79, 80}, {47, 48}, {8, 32}, {72, 96}, {31, 55}, {30, 54}, {29, 53}, {28, 52}, {27, 51}, {26, 50}, {25, 49}, {24, 48}, {9, 33}, {10, 34}, {11, 35}, {12, 36}, {13, 37}, {14, 38}, {15, 39}, {25, 48}, {73, 96}, {16, 40}, {23, 47}, {22, 46}, {21, 45}, {20, 44}, {19, 43}, {17, 41}, {18, 42}, {31, 32}, {95, 96}, {1, 77}, {19, 95}, {18, 94}, {2, 78}, {3, 79}, {16, 92}, {17, 93}, {4, 80}, {24, 76}, {5, 81}, {6, 82}, {7, 83}, {12, 88}, {13, 89}, {14, 90}, {15, 91}, {8, 84}, {23, 75}, {22, 74}, {21, 73}, {9, 85}, {10, 86}, {11, 87}, {40, 64}, {63, 87}, {62, 86}, {41, 65}, {42, 66}, {43, 67}, {44, 68}, {45, 69}, {46, 70}, {47, 71}, {56, 80}, {57, 81}, {58, 82}, {59, 83}, {60, 84}, {61, 85}, {20, 96}, {48, 72}, {49, 73}, {50, 74}, {51, 75}, {52, 76}, {53, 77}, {54, 78}, {55, 79}, {49, 72}, {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: (2, 77)(3, 53)(4, 29)(6, 81)(7, 57)(8, 33)(10, 85)(11, 61)(12, 37)(14, 89)(15, 65)(16, 41)(18, 93)(19, 69)(20, 45)(22, 73)(23, 49)(24, 25)(26, 76)(27, 52)(30, 80)(31, 56)(34, 84)(35, 60)(38, 88)(39, 64)(42, 92)(43, 68)(46, 96)(47, 72)(50, 75)(54, 79)(58, 83)(62, 87)(66, 91)(70, 95)
b: (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, 89, 90, 91, 92, 93, 94, 95, 96)
c: (2, 24)(3, 23)(4, 22)(5, 21)(6, 20)(7, 19)(8, 18)(9, 17)(10, 16)(11, 15)(12, 14)(25, 77)(26, 76)(27, 75)(28, 74)(29, 73)(30, 96)(31, 95)(32, 94)(33, 93)(34, 92)(35, 91)(36, 90)(37, 89)(38, 88)(39, 87)(40, 86)(41, 85)(42, 84)(43, 83)(44, 82)(45, 81)(46, 80)(47, 79)(48, 78)(49, 53)(50, 52)(54, 72)(55, 71)(56, 70)(57, 69)(58, 68)(59, 67)(60, 66)(61, 65)(62, 64)

(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[ 96, 6 ]
96
-1 77 2 24 25
-2 1 78 3 26
-3 2 79 4 27
-4 3 80 5 28
-5 4 81 6 29
-6 5 82 7 30
-7 6 83 8 31
-8 7 84 9 32
-9 33 8 85 10
-10 11 34 9 86
-11 12 35 10 87
-12 11 88 13 36
-13 12 89 14 37
-14 13 90 15 38
-15 14 91 16 39
-16 15 92 17 40
-17 16 93 18 41
-18 17 94 19 42
-19 18 95 20 43
-20 44 19 96 21
-21 22 45 73 20
-22 23 46 74 21
-23 22 24 47 75
-24 1 23 48 76
-25 1 26 48 49
-26 2 25 27 50
-27 3 26 28 51
-28 4 27 29 52
-29 5 28 30 53
-30 6 29 31 54
-31 55 7 30 32
-32 33 56 8 31
-33 34 57 9 32
-34 33 35 58 10
-35 11 34 36 59
-36 12 35 37 60
-37 13 36 38 61
-38 14 37 39 62
-39 15 38 40 63
-40 16 39 41 64
-41 17 40 42 65
-42 66 18 41 43
-43 44 67 19 42
-44 45 68 20 43
-45 44 46 69 21
-46 22 45 47 70
-47 23 46 48 71
-48 24 25 47 72
-49 25 50 72 73
-50 26 49 51 74
-51 27 50 52 75
-52 28 51 53 76
-53 77 29 52 54
-54 55 78 30 53
-55 56 79 31 54
-56 55 57 80 32
-57 33 56 58 81
-58 34 57 59 82
-59 35 58 60 83
-60 36 59 61 84
-61 37 60 62 85
-62 38 61 63 86
-63 39 62 64 87
-64 88 40 63 65
-65 66 89 41 64
-66 67 90 42 65
-67 66 68 91 43
-68 44 67 69 92
-69 45 68 70 93
-70 46 69 71 94
-71 47 70 72 95
-72 48 49 71 96
-73 49 74 96 21
-74 22 50 73 75
-75 23 51 74 76
-76 77 24 52 75
-77 1 78 53 76
-78 77 2 79 54
-79 55 78 3 80
-80 56 79 4 81
-81 57 80 5 82
-82 58 81 6 83
-83 59 82 7 84
-84 60 83 8 85
-85 61 84 9 86
-86 62 85 10 87
-87 11 88 63 86
-88 12 89 64 87
-89 88 13 90 65
-90 66 89 14 91
-91 67 90 15 92
-92 68 91 16 93
-93 69 92 17 94
-94 70 93 18 95
-95 71 94 19 96
-96 72 73 95 20
0

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