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On this page are computer-accessible forms for the graph C4[ 104, 7 ] = R_52(28,27).

(I) Following is a form readable by MAGMA:

g:=Graph<104|{ {2, 3}, {50, 51}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {1, 2}, {29, 30}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {3, 4}, {51, 52}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {7, 8}, {23, 24}, {39, 40}, {32, 56}, {33, 57}, {34, 58}, {35, 59}, {36, 60}, {37, 61}, {38, 62}, {39, 63}, {64, 89}, {70, 95}, {68, 93}, {66, 91}, {64, 91}, {69, 94}, {68, 95}, {65, 90}, {65, 92}, {67, 94}, {15, 16}, {67, 92}, {66, 93}, {47, 48}, {69, 96}, {77, 104}, {71, 98}, {70, 97}, {79, 104}, {71, 96}, {29, 53}, {30, 54}, {31, 55}, {72, 97}, {78, 103}, {76, 101}, {74, 99}, {72, 99}, {77, 102}, {76, 103}, {73, 98}, {73, 100}, {75, 102}, {74, 101}, {75, 100}, {1, 53}, {2, 54}, {3, 55}, {8, 60}, {9, 61}, {10, 62}, {11, 63}, {1, 52}, {4, 56}, {5, 57}, {6, 58}, {7, 59}, {31, 32}, {1, 77}, {29, 81}, {28, 80}, {19, 95}, {18, 94}, {2, 78}, {3, 79}, {12, 64}, {13, 65}, {14, 66}, {15, 67}, {16, 92}, {17, 93}, {30, 82}, {31, 83}, {44, 96}, {45, 97}, {46, 98}, {47, 99}, {4, 80}, {51, 103}, {50, 102}, {27, 79}, {26, 78}, {25, 77}, {24, 76}, {19, 71}, {18, 70}, {5, 81}, {6, 82}, {7, 83}, {12, 88}, {13, 89}, {14, 90}, {15, 91}, {16, 68}, {17, 69}, {48, 100}, {49, 101}, {8, 84}, {52, 104}, {23, 75}, {22, 74}, {21, 73}, {20, 72}, {9, 85}, {10, 86}, {11, 87}, {53, 80}, {63, 90}, {61, 88}, {55, 82}, {54, 81}, {63, 88}, {62, 89}, {55, 80}, {40, 64}, {41, 65}, {42, 66}, {43, 67}, {44, 68}, {45, 69}, {46, 70}, {47, 71}, {56, 81}, {62, 87}, {60, 85}, {58, 83}, {56, 83}, {61, 86}, {60, 87}, {57, 82}, {57, 84}, {59, 86}, {58, 85}, {59, 84}, {20, 96}, {28, 104}, {23, 99}, {22, 98}, {21, 97}, {32, 84}, {33, 85}, {34, 86}, {35, 87}, {40, 92}, {41, 93}, {42, 94}, {43, 95}, {48, 72}, {52, 76}, {51, 75}, {50, 74}, {49, 73}, {54, 79}, {53, 78}, {24, 100}, {27, 103}, {26, 102}, {25, 101}, {36, 88}, {37, 89}, {38, 90}, {39, 91} }>;

(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: (4, 55)(5, 31)(6, 83)(30, 81)(32, 57)(56, 82)
b: (8, 59)(9, 35)(10, 87)(34, 85)(36, 61)(60, 86)
c: (7, 58)(8, 85)(33, 84)(34, 59)
d: (18, 69)(19, 45)(20, 97)(44, 95)(46, 71)(70, 96)
e: (22, 73)(23, 49)(24, 101)(48, 99)(50, 75)(74, 100)
f: (6, 57)(7, 33)(8, 85)(32, 83)(34, 59)(58, 84)
g: (23, 74)(24, 101)(49, 100)(50, 75)
h: (14, 65)(15, 41)(16, 93)(40, 91)(42, 67)(66, 92)
m: (10, 61)(11, 37)(12, 89)(36, 87)(38, 63)(62, 88)
n1: (9, 60)(10, 87)(35, 86)(36, 61)
a1: (15, 66)(16, 93)(41, 92)(42, 67)
b1: (21, 72)(22, 99)(47, 98)(48, 73)
c1: (24, 75)(25, 51)(26, 103)(50, 101)(52, 77)(76, 102)
d1: (13, 64)(14, 91)(39, 90)(40, 65)
e1: (12, 63)(13, 39)(14, 91)(38, 89)(40, 65)(64, 90)
f1: (5, 56)(6, 83)(31, 82)(32, 57)
g1: (17, 68)(18, 95)(43, 94)(44, 69)
h1: (20, 71)(21, 47)(22, 99)(46, 97)(48, 73)(72, 98)
m1: (19, 70)(20, 97)(45, 96)(46, 71)
n2: (16, 67)(17, 43)(18, 95)(42, 93)(44, 69)(68, 94)
a2: (2, 77)(3, 25)(4, 24)(5, 23)(6, 22)(7, 21)(8, 20)(9, 19)(10, 18)(11, 17)(12, 16)(13, 15)(26, 79)(28, 103)(29, 51)(30, 50)(31, 49)(32, 48)(33, 47)(34, 46)(35, 45)(36, 44)(37, 43)(38, 42)(39, 41)(52, 53)(54, 102)(55, 101)(56, 100)(57, 99)(58, 98)(59, 97)(60, 96)(61, 95)(62, 94)(63, 93)(64, 92)(65, 91)(66, 90)(67, 89)(68, 88)(69, 87)(70, 86)(71, 85)(72, 84)(73, 83)(74, 82)(75, 81)(76, 80)(78, 104)
b2: (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, 101, 102, 103, 104)
c2: (25, 76)(26, 103)(51, 102)(52, 77)
d2: (11, 62)(12, 89)(37, 88)(38, 63)

(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.

**************

&Graph
C4[ 104, 7 ]
104
-1 77 2 52 53
-2 1 78 3 54
-3 55 2 79 4
-4 56 3 80 5
-5 57 4 81 6
-6 58 5 82 7
-7 59 6 83 8
-8 60 7 84 9
-9 61 8 85 10
-10 11 62 9 86
-11 12 63 10 87
-12 11 88 13 64
-13 12 89 14 65
-14 66 13 90 15
-15 67 14 91 16
-16 68 15 92 17
-17 69 16 93 18
-18 70 17 94 19
-19 71 18 95 20
-20 72 19 96 21
-21 22 73 20 97
-22 23 74 21 98
-23 22 99 24 75
-24 23 100 25 76
-25 77 24 101 26
-26 78 25 102 27
-27 79 26 103 28
-28 80 27 104 29
-29 81 28 30 53
-30 82 29 31 54
-31 55 83 30 32
-32 33 56 84 31
-33 34 57 85 32
-34 33 35 58 86
-35 34 36 59 87
-36 88 35 37 60
-37 89 36 38 61
-38 90 37 39 62
-39 91 38 40 63
-40 92 39 41 64
-41 93 40 42 65
-42 66 94 41 43
-43 44 67 95 42
-44 45 68 96 43
-45 44 46 69 97
-46 45 47 70 98
-47 99 46 48 71
-48 100 47 49 72
-49 101 48 50 73
-50 102 49 51 74
-51 103 50 52 75
-52 1 104 51 76
-53 1 78 80 29
-54 2 79 81 30
-55 3 80 82 31
-56 4 81 83 32
-57 33 5 82 84
-58 34 6 83 85
-59 35 7 84 86
-60 36 8 85 87
-61 88 37 9 86
-62 89 38 10 87
-63 11 88 90 39
-64 12 89 91 40
-65 13 90 92 41
-66 14 91 93 42
-67 15 92 94 43
-68 44 16 93 95
-69 45 17 94 96
-70 46 18 95 97
-71 47 19 96 98
-72 99 48 20 97
-73 100 49 21 98
-74 22 99 101 50
-75 23 100 102 51
-76 24 101 103 52
-77 1 25 102 104
-78 2 26 103 53
-79 3 27 104 54
-80 55 4 28 53
-81 56 5 29 54
-82 55 57 6 30
-83 56 58 7 31
-84 57 59 8 32
-85 33 58 60 9
-86 34 59 61 10
-87 11 35 60 62
-88 12 36 61 63
-89 13 37 62 64
-90 14 38 63 65
-91 66 15 39 64
-92 67 16 40 65
-93 66 68 17 41
-94 67 69 18 42
-95 68 70 19 43
-96 44 69 71 20
-97 45 70 72 21
-98 22 46 71 73
-99 23 47 72 74
-100 24 48 73 75
-101 25 49 74 76
-102 77 26 50 75
-103 78 27 51 76
-104 77 79 28 52
0

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