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On this page are computer-accessible forms for the graph C4[ 84, 2 ] = C_84(1,13).

(I) Following is a form readable by MAGMA:

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

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

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