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On this page are computer-accessible forms for the graph C4[ 91, 3 ] = AT[91,3].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {30, 31} under the group generated by the following permutations:

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

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

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