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On this page are computer-accessible forms for the graph C4[ 91, 2 ] = AT[91,2].

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {70, 71} under the group generated by the following permutations:

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

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

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