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On this page are computer-accessible forms for the graph C4[ 136, 4 ] = {4,4}_10,6.

(I) Following is a form readable by MAGMA:

g:=Graph<136|{ {2, 3}, {134, 135}, {132, 133}, {130, 131}, {128, 129}, {126, 127}, {124, 125}, {122, 123}, {120, 121}, {118, 119}, {116, 117}, {114, 115}, {112, 113}, {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}, {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}, {1, 2}, {133, 134}, {129, 130}, {125, 126}, {121, 122}, {117, 118}, {113, 114}, {109, 110}, {105, 106}, {101, 102}, {97, 98}, {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}, {131, 132}, {123, 124}, {115, 116}, {107, 108}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {35, 36}, {27, 28}, {11, 12}, {19, 20}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {7, 8}, {135, 136}, {119, 120}, {103, 104}, {87, 88}, {71, 72}, {39, 40}, {23, 24}, {55, 56}, {64, 90}, {68, 94}, {65, 91}, {66, 92}, {67, 93}, {15, 16}, {111, 112}, {79, 80}, {47, 48}, {31, 32}, {95, 96}, {1, 69}, {35, 103}, {34, 102}, {33, 101}, {32, 100}, {27, 95}, {26, 94}, {25, 93}, {24, 92}, {2, 70}, {3, 71}, {8, 76}, {9, 77}, {10, 78}, {11, 79}, {16, 84}, {17, 85}, {18, 86}, {19, 87}, {40, 108}, {41, 109}, {42, 110}, {43, 111}, {48, 116}, {49, 117}, {50, 118}, {51, 119}, {56, 124}, {57, 125}, {58, 126}, {59, 127}, {1, 68}, {4, 72}, {38, 106}, {37, 105}, {36, 104}, {5, 73}, {6, 74}, {7, 75}, {20, 88}, {21, 89}, {22, 90}, {23, 91}, {39, 107}, {52, 120}, {53, 121}, {54, 122}, {55, 123}, {12, 80}, {13, 81}, {14, 82}, {15, 83}, {44, 112}, {45, 113}, {46, 114}, {47, 115}, {1, 95}, {33, 127}, {32, 126}, {2, 96}, {31, 125}, {30, 124}, {27, 121}, {26, 120}, {23, 117}, {3, 97}, {6, 100}, {7, 101}, {10, 104}, {11, 105}, {14, 108}, {15, 109}, {18, 112}, {19, 113}, {22, 116}, {4, 98}, {29, 123}, {28, 122}, {5, 99}, {12, 106}, {13, 107}, {20, 114}, {21, 115}, {46, 72}, {47, 73}, {54, 80}, {55, 81}, {62, 88}, {63, 89}, {44, 70}, {45, 71}, {56, 82}, {57, 83}, {60, 86}, {61, 87}, {8, 102}, {25, 119}, {24, 118}, {9, 103}, {43, 69}, {58, 84}, {59, 85}, {48, 74}, {49, 75}, {52, 78}, {53, 79}, {28, 96}, {31, 99}, {30, 98}, {29, 97}, {16, 110}, {17, 111}, {50, 76}, {51, 77}, {63, 64}, {34, 128}, {38, 132}, {35, 129}, {39, 133}, {42, 136}, {36, 130}, {37, 131}, {40, 134}, {41, 135}, {60, 128}, {61, 129}, {62, 130}, {63, 131}, {64, 132}, {67, 135}, {65, 133}, {66, 134}, {68, 136}, {69, 136}, {127, 128} }>;

(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, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136)
b: (2, 95, 68, 69)(3, 27, 67, 43)(4, 121, 66, 111)(5, 53, 65, 17)(6, 79, 64, 85)(7, 11, 63, 59)(8, 105, 62, 127)(9, 37, 61, 33)(10, 131, 60, 101)(12, 89, 58, 75)(13, 21, 57, 49)(14, 115, 56, 117)(15, 47, 55, 23)(16, 73, 54, 91)(18, 99, 52, 133)(19, 31, 51, 39)(20, 125, 50, 107)(22, 83, 48, 81)(24, 109, 46, 123)(25, 41, 45, 29)(26, 135, 44, 97)(28, 93, 42, 71)(30, 119, 40, 113)(32, 77, 38, 87)(34, 103, 36, 129)(70, 96, 94, 136)(72, 122, 92, 110)(74, 80, 90, 84)(76, 106, 88, 126)(78, 132, 86, 100)(82, 116)(98, 120, 134, 112)(102, 104, 130, 128)(108, 114, 124, 118)

(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[ 136, 4 ]
136
-1 2 68 69 95
-2 1 3 70 96
-3 2 4 71 97
-4 3 5 72 98
-5 99 4 6 73
-6 100 5 7 74
-7 101 6 8 75
-8 102 7 9 76
-9 77 103 8 10
-10 11 78 104 9
-11 12 79 105 10
-12 11 13 80 106
-13 12 14 81 107
-14 13 15 82 108
-15 14 16 83 109
-16 110 15 17 84
-17 111 16 18 85
-18 112 17 19 86
-19 113 18 20 87
-20 88 114 19 21
-21 22 89 115 20
-22 23 90 116 21
-23 22 24 91 117
-24 23 25 92 118
-25 24 26 93 119
-26 25 27 94 120
-27 121 26 28 95
-28 122 27 29 96
-29 123 28 30 97
-30 124 29 31 98
-31 99 125 30 32
-32 33 100 126 31
-33 34 101 127 32
-34 33 35 102 128
-35 34 36 103 129
-36 35 37 104 130
-37 36 38 105 131
-38 132 37 39 106
-39 133 38 40 107
-40 134 39 41 108
-41 135 40 42 109
-42 110 136 41 43
-43 44 111 69 42
-44 45 112 70 43
-45 44 46 113 71
-46 45 47 114 72
-47 46 48 115 73
-48 47 49 116 74
-49 48 50 117 75
-50 49 51 118 76
-51 77 50 52 119
-52 78 51 53 120
-53 121 79 52 54
-54 55 122 80 53
-55 56 123 81 54
-56 55 57 124 82
-57 56 58 125 83
-58 57 59 126 84
-59 58 60 127 85
-60 59 61 128 86
-61 60 62 129 87
-62 88 61 63 130
-63 89 62 64 131
-64 132 90 63 65
-65 66 133 91 64
-66 67 134 92 65
-67 66 68 135 93
-68 1 67 136 94
-69 1 70 136 43
-70 44 2 69 71
-71 45 3 70 72
-72 46 4 71 73
-73 47 5 72 74
-74 48 6 73 75
-75 49 7 74 76
-76 77 50 8 75
-77 78 51 9 76
-78 77 79 52 10
-79 11 78 80 53
-80 12 79 81 54
-81 55 13 80 82
-82 56 14 81 83
-83 57 15 82 84
-84 58 16 83 85
-85 59 17 84 86
-86 60 18 85 87
-87 88 61 19 86
-88 89 62 20 87
-89 88 90 63 21
-90 22 89 91 64
-91 23 90 92 65
-92 66 24 91 93
-93 67 25 92 94
-94 68 26 93 95
-95 1 27 94 96
-96 2 28 95 97
-97 3 29 96 98
-98 99 4 30 97
-99 100 5 31 98
-100 99 101 6 32
-101 33 100 102 7
-102 34 101 103 8
-103 35 102 104 9
-104 36 103 105 10
-105 11 37 104 106
-106 12 38 105 107
-107 13 39 106 108
-108 14 40 107 109
-109 110 15 41 108
-110 111 16 42 109
-111 110 112 17 43
-112 44 111 113 18
-113 45 112 114 19
-114 46 113 115 20
-115 47 114 116 21
-116 22 48 115 117
-117 23 49 116 118
-118 24 50 117 119
-119 25 51 118 120
-120 121 26 52 119
-121 122 27 53 120
-122 121 123 28 54
-123 55 122 124 29
-124 56 123 125 30
-125 57 124 126 31
-126 58 125 127 32
-127 33 59 126 128
-128 34 60 127 129
-129 35 61 128 130
-130 36 62 129 131
-131 132 37 63 130
-132 133 38 64 131
-133 132 134 39 65
-134 66 133 135 40
-135 67 134 136 41
-136 68 69 135 42
0

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