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On this page are computer-accessible forms for the graph C4[ 96, 25 ] = KE_24(1,9,8,5,5).

(I) Following is a form readable by MAGMA:

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

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

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

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