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On this page are computer-accessible forms for the graph C4[ 100, 4 ] = {4,4}_[10,5].

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

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

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