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On this page are computer-accessible forms for the graph C4[ 96, 28 ] = KE_24(1,11,2,3,11).

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

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

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

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