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On this page are computer-accessible forms for the graph C4[ 100, 2 ] = {4,4}_8,6.

(I) Following is a form readable by MAGMA:

g:=Graph<100|{ {2, 3}, {98, 99}, {96, 97}, {94, 95}, {92, 93}, {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}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {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}, {52, 53}, {54, 55}, {56, 57}, {1, 2}, {97, 98}, {93, 94}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {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}, {3, 4}, {99, 100}, {91, 92}, {83, 84}, {75, 76}, {67, 68}, {59, 60}, {27, 28}, {11, 12}, {19, 20}, {35, 36}, {43, 44}, {51, 52}, {7, 8}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {15, 16}, {79, 80}, {47, 48}, {16, 52}, {27, 63}, {26, 62}, {25, 61}, {24, 60}, {17, 53}, {18, 54}, {19, 55}, {20, 56}, {23, 59}, {22, 58}, {21, 57}, {1, 51}, {4, 54}, {5, 55}, {8, 58}, {9, 59}, {12, 62}, {13, 63}, {1, 50}, {2, 52}, {3, 53}, {10, 60}, {11, 61}, {15, 51}, {6, 56}, {7, 57}, {31, 32}, {95, 96}, {14, 64}, {31, 81}, {30, 80}, {15, 65}, {46, 96}, {47, 97}, {16, 66}, {29, 79}, {28, 78}, {25, 75}, {24, 74}, {21, 71}, {17, 67}, {20, 70}, {48, 98}, {49, 99}, {1, 87}, {27, 77}, {26, 76}, {8, 94}, {9, 95}, {18, 68}, {19, 69}, {50, 100}, {51, 100}, {2, 88}, {3, 89}, {6, 92}, {7, 93}, {28, 64}, {31, 67}, {30, 66}, {29, 65}, {4, 90}, {23, 73}, {22, 72}, {5, 91}, {32, 68}, {33, 69}, {34, 70}, {35, 71}, {40, 76}, {41, 77}, {42, 78}, {43, 79}, {48, 84}, {49, 85}, {50, 86}, {10, 96}, {11, 97}, {14, 100}, {36, 72}, {37, 73}, {38, 74}, {39, 75}, {12, 98}, {13, 99}, {32, 82}, {33, 83}, {36, 86}, {37, 87}, {40, 90}, {41, 91}, {44, 94}, {45, 95}, {34, 84}, {35, 85}, {42, 92}, {43, 93}, {44, 80}, {45, 81}, {46, 82}, {47, 83}, {38, 88}, {39, 89}, {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, 92, 93, 94, 95, 96, 97, 98, 99, 100)
b: (2, 87, 50, 51)(3, 37, 49, 15)(4, 73, 48, 65)(5, 23, 47, 29)(6, 59, 46, 79)(7, 9, 45, 43)(8, 95, 44, 93)(10, 81, 42, 57)(11, 31, 41, 21)(12, 67, 40, 71)(13, 17, 39, 35)(14, 53, 38, 85)(16, 89, 36, 99)(18, 75, 34, 63)(19, 25, 33, 27)(20, 61, 32, 77)(22, 97, 30, 91)(24, 83, 28, 55)(26, 69)(52, 88, 86, 100)(54, 74, 84, 64)(56, 60, 82, 78)(58, 96, 80, 92)(62, 68, 76, 70)(66, 90, 72, 98)

(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[ 100, 2 ]
100
-1 2 50 51 87
-2 88 1 3 52
-3 89 2 4 53
-4 90 3 5 54
-5 55 91 4 6
-6 56 92 5 7
-7 57 93 6 8
-8 58 94 7 9
-9 59 95 8 10
-10 11 60 96 9
-11 12 61 97 10
-12 11 13 62 98
-13 99 12 14 63
-14 100 13 15 64
-15 14 16 51 65
-16 66 15 17 52
-17 67 16 18 53
-18 68 17 19 54
-19 55 69 18 20
-20 56 70 19 21
-21 22 57 71 20
-22 23 58 72 21
-23 22 24 59 73
-24 23 25 60 74
-25 24 26 61 75
-26 25 27 62 76
-27 77 26 28 63
-28 78 27 29 64
-29 79 28 30 65
-30 66 80 29 31
-31 67 81 30 32
-32 33 68 82 31
-33 34 69 83 32
-34 33 35 70 84
-35 34 36 71 85
-36 35 37 72 86
-37 36 38 73 87
-38 88 37 39 74
-39 89 38 40 75
-40 90 39 41 76
-41 77 91 40 42
-42 78 92 41 43
-43 44 79 93 42
-44 45 80 94 43
-45 44 46 81 95
-46 45 47 82 96
-47 46 48 83 97
-48 47 49 84 98
-49 99 48 50 85
-50 1 100 49 86
-51 1 100 15 52
-52 2 16 51 53
-53 3 17 52 54
-54 55 4 18 53
-55 56 5 19 54
-56 55 57 6 20
-57 56 58 7 21
-58 22 57 59 8
-59 23 58 60 9
-60 24 59 61 10
-61 11 25 60 62
-62 12 26 61 63
-63 13 27 62 64
-64 14 28 63 65
-65 66 15 29 64
-66 67 16 30 65
-67 66 68 17 31
-68 67 69 18 32
-69 33 68 70 19
-70 34 69 71 20
-71 35 70 72 21
-72 22 36 71 73
-73 23 37 72 74
-74 24 38 73 75
-75 25 39 74 76
-76 77 26 40 75
-77 78 27 41 76
-78 77 79 28 42
-79 78 80 29 43
-80 44 79 81 30
-81 45 80 82 31
-82 46 81 83 32
-83 33 47 82 84
-84 34 48 83 85
-85 35 49 84 86
-86 36 50 85 87
-87 88 1 37 86
-88 89 2 38 87
-89 88 90 3 39
-90 89 91 4 40
-91 90 92 5 41
-92 91 93 6 42
-93 92 94 7 43
-94 44 93 95 8
-95 45 94 96 9
-96 46 95 97 10
-97 11 47 96 98
-98 99 12 48 97
-99 100 13 49 98
-100 99 14 50 51
0

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