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On this page are computer-accessible forms for the graph C4[ 91, 1 ] = C_91(1,27).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {2, 3} under the group generated by the following permutations:

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

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

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