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On this page are computer-accessible forms for the graph C4[ 105, 5 ] = PS(3,35;11).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {35, 36} under the group generated by the following permutations:

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

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

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