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On this page are computer-accessible forms for the graph C4[ 98, 2 ] = {4,4}_7,7.

(I) Following is a form readable by MAGMA:

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

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

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