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On this page are computer-accessible forms for the graph C4[ 90, 2 ] = C_90(1,19).

(I) Following is a form readable by MAGMA:

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

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

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