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On this page are computer-accessible forms for the graph C4[ 102, 3 ] = PS(6,17;4).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {17, 18} under the group generated by the following permutations:

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

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

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