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On this page are computer-accessible forms for the graph C4[ 110, 6 ] = MSY(5,22,5,11).

(I) Following is a form readable by MAGMA:

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

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

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

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