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On this page are computer-accessible forms for the graph C4[ 112, 5 ] = {4,4}_<16,12>.

(I) Following is a form readable by MAGMA:

g:=Graph<112|{ {2, 3}, {110, 111}, {108, 109}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {90, 91}, {88, 89}, {86, 87}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {30, 31}, {26, 27}, {24, 25}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {46, 47}, {48, 49}, {50, 51}, {52, 53}, {54, 55}, {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}, {1, 2}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {93, 94}, {89, 90}, {41, 42}, {37, 38}, {33, 34}, {29, 30}, {25, 26}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {3, 4}, {107, 108}, {99, 100}, {91, 92}, {43, 44}, {35, 36}, {27, 28}, {11, 12}, {19, 20}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {7, 8}, {103, 104}, {87, 88}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {1, 29}, {35, 63}, {34, 62}, {33, 61}, {32, 60}, {2, 30}, {3, 31}, {64, 92}, {65, 93}, {66, 94}, {67, 95}, {1, 28}, {15, 16}, {111, 112}, {47, 48}, {79, 80}, {4, 32}, {31, 59}, {30, 58}, {29, 57}, {28, 56}, {23, 51}, {5, 33}, {6, 34}, {7, 35}, {12, 40}, {13, 41}, {14, 42}, {15, 43}, {20, 48}, {21, 49}, {22, 50}, {68, 96}, {69, 97}, {70, 98}, {71, 99}, {76, 104}, {77, 105}, {78, 106}, {79, 107}, {84, 112}, {29, 56}, {85, 112}, {8, 36}, {27, 55}, {26, 54}, {25, 53}, {24, 52}, {9, 37}, {10, 38}, {11, 39}, {72, 100}, {73, 101}, {74, 102}, {75, 103}, {16, 44}, {17, 45}, {18, 46}, {19, 47}, {80, 108}, {81, 109}, {82, 110}, {83, 111}, {31, 32}, {95, 96}, {28, 88}, {25, 85}, {27, 87}, {26, 86}, {1, 89}, {2, 90}, {3, 91}, {4, 92}, {5, 93}, {6, 94}, {7, 95}, {36, 64}, {44, 72}, {39, 67}, {38, 66}, {37, 65}, {45, 73}, {46, 74}, {47, 75}, {52, 80}, {53, 81}, {54, 82}, {55, 83}, {60, 88}, {61, 89}, {62, 90}, {63, 91}, {8, 96}, {24, 112}, {9, 97}, {10, 98}, {11, 99}, {12, 100}, {13, 101}, {14, 102}, {15, 103}, {40, 68}, {43, 71}, {42, 70}, {41, 69}, {56, 84}, {57, 85}, {58, 86}, {59, 87}, {57, 84}, {16, 104}, {23, 111}, {17, 105}, {18, 106}, {19, 107}, {20, 108}, {21, 109}, {22, 110}, {48, 76}, {49, 77}, {50, 78}, {51, 79}, {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, 29)(3, 57)(4, 85)(5, 25)(6, 53)(7, 81)(8, 109)(9, 21)(10, 49)(11, 77)(12, 105)(13, 17)(14, 45)(15, 73)(16, 101)(18, 41)(19, 69)(20, 97)(22, 37)(23, 65)(24, 93)(26, 33)(27, 61)(28, 89)(31, 58)(32, 86)(34, 54)(35, 82)(36, 110)(38, 50)(39, 78)(40, 106)(42, 46)(43, 74)(44, 102)(47, 70)(48, 98)(51, 66)(52, 94)(55, 62)(56, 90)(60, 87)(63, 83)(64, 111)(67, 79)(68, 107)(71, 75)(72, 103)(76, 99)(80, 95)(84, 91)(92, 112)(96, 108)(100, 104)
b: (2, 89)(3, 61)(4, 33)(6, 93)(7, 65)(8, 37)(10, 97)(11, 69)(12, 41)(14, 101)(15, 73)(16, 45)(18, 105)(19, 77)(20, 49)(22, 109)(23, 81)(24, 53)(26, 85)(27, 57)(28, 29)(30, 88)(31, 60)(34, 92)(35, 64)(38, 96)(39, 68)(42, 100)(43, 72)(46, 104)(47, 76)(50, 108)(51, 80)(54, 112)(55, 84)(58, 87)(62, 91)(66, 95)(70, 99)(74, 103)(78, 107)(82, 111)
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, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112)

(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[ 112, 5 ]
112
-1 89 2 28 29
-2 1 90 3 30
-3 2 91 4 31
-4 3 92 5 32
-5 33 4 93 6
-6 34 5 94 7
-7 35 6 95 8
-8 36 7 96 9
-9 37 8 97 10
-10 11 38 9 98
-11 99 12 39 10
-12 11 100 13 40
-13 12 101 14 41
-14 13 102 15 42
-15 14 103 16 43
-16 44 15 104 17
-17 45 16 105 18
-18 46 17 106 19
-19 47 18 107 20
-20 48 19 108 21
-21 22 49 20 109
-22 110 23 50 21
-23 22 111 24 51
-24 23 112 25 52
-25 24 26 85 53
-26 25 27 86 54
-27 55 26 28 87
-28 88 1 56 27
-29 1 56 57 30
-30 2 58 29 31
-31 3 59 30 32
-32 33 4 60 31
-33 34 5 61 32
-34 33 35 6 62
-35 34 36 7 63
-36 35 37 8 64
-37 36 38 9 65
-38 66 37 39 10
-39 11 67 38 40
-40 12 68 39 41
-41 13 69 40 42
-42 14 70 41 43
-43 44 15 71 42
-44 45 16 72 43
-45 44 46 17 73
-46 45 47 18 74
-47 46 48 19 75
-48 47 49 20 76
-49 77 48 50 21
-50 22 78 49 51
-51 23 79 50 52
-52 24 80 51 53
-53 25 81 52 54
-54 55 26 82 53
-55 56 27 83 54
-56 55 28 29 84
-57 58 29 84 85
-58 57 59 30 86
-59 58 60 31 87
-60 88 59 61 32
-61 33 89 60 62
-62 34 90 61 63
-63 35 91 62 64
-64 36 92 63 65
-65 66 37 93 64
-66 67 38 94 65
-67 66 68 39 95
-68 67 69 40 96
-69 68 70 41 97
-70 69 71 42 98
-71 99 70 72 43
-72 44 100 71 73
-73 45 101 72 74
-74 46 102 73 75
-75 47 103 74 76
-76 77 48 104 75
-77 78 49 105 76
-78 77 79 50 106
-79 78 80 51 107
-80 79 81 52 108
-81 80 82 53 109
-82 110 81 83 54
-83 55 111 82 84
-84 56 57 112 83
-85 57 112 25 86
-86 58 26 85 87
-87 88 59 27 86
-88 89 60 28 87
-89 88 1 90 61
-90 89 2 91 62
-91 90 3 92 63
-92 91 4 93 64
-93 92 5 94 65
-94 66 93 6 95
-95 67 94 7 96
-96 68 95 8 97
-97 69 96 9 98
-98 99 70 97 10
-99 11 100 71 98
-100 99 12 101 72
-101 100 13 102 73
-102 101 14 103 74
-103 102 15 104 75
-104 103 16 105 76
-105 77 104 17 106
-106 78 105 18 107
-107 79 106 19 108
-108 80 107 20 109
-109 110 81 108 21
-110 22 111 82 109
-111 110 23 112 83
-112 111 24 84 85
0

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