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On this page are computer-accessible forms for the graph C4[ 96, 4 ] = {4,4}_[8,6].

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

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

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