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On this page are computer-accessible forms for the graph C4[ 96, 2 ] = C_96(1,17).

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

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

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