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On this page are computer-accessible forms for the graph C4[ 96, 3 ] = C_96(1,31).

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

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

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