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On this page are computer-accessible forms for the graph C4[ 105, 4 ] = PS(15,7;2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {28, 29} under the group generated by the following permutations:

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

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

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