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On this page are computer-accessible forms for the graph C4[ 90, 4 ] = {4,4}_9,3.

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

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

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