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On this page are computer-accessible forms for the graph C4[ 108, 1 ] = W(54,2).

(I) Following is a form readable by MAGMA:

g:=Graph<108|{ {2, 3}, {106, 107}, {104, 105}, {102, 103}, {100, 101}, {98, 99}, {96, 97}, {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}, {74, 75}, {76, 77}, {78, 79}, {80, 81}, {82, 83}, {84, 85}, {86, 87}, {88, 89}, {90, 91}, {92, 93}, {94, 95}, {1, 2}, {105, 106}, {101, 102}, {97, 98}, {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}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {3, 4}, {107, 108}, {99, 100}, {35, 36}, {27, 28}, {11, 12}, {19, 20}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {7, 8}, {103, 104}, {39, 40}, {23, 24}, {55, 56}, {71, 72}, {87, 88}, {15, 16}, {47, 48}, {79, 80}, {2, 55}, {8, 61}, {10, 63}, {1, 54}, {8, 63}, {9, 62}, {1, 56}, {3, 58}, {5, 60}, {7, 62}, {2, 57}, {3, 56}, {6, 61}, {7, 60}, {4, 57}, {6, 59}, {4, 59}, {95, 96}, {31, 32}, {5, 58}, {9, 64}, {41, 96}, {31, 86}, {29, 84}, {27, 82}, {11, 66}, {13, 68}, {15, 70}, {25, 80}, {43, 98}, {45, 100}, {47, 102}, {10, 65}, {31, 84}, {30, 85}, {27, 80}, {26, 81}, {11, 64}, {14, 69}, {15, 68}, {42, 97}, {43, 96}, {46, 101}, {47, 100}, {12, 65}, {30, 83}, {28, 81}, {14, 67}, {44, 97}, {46, 99}, {12, 67}, {29, 82}, {28, 83}, {13, 66}, {44, 99}, {45, 98}, {16, 69}, {26, 79}, {18, 71}, {24, 77}, {48, 101}, {50, 103}, {16, 71}, {17, 70}, {24, 79}, {25, 78}, {48, 103}, {49, 102}, {17, 72}, {19, 74}, {21, 76}, {23, 78}, {49, 104}, {51, 106}, {53, 108}, {18, 73}, {19, 72}, {22, 77}, {23, 76}, {50, 105}, {51, 104}, {55, 108}, {20, 73}, {22, 75}, {52, 105}, {54, 107}, {20, 75}, {21, 74}, {52, 107}, {53, 106}, {1, 108}, {32, 85}, {42, 95}, {40, 93}, {34, 87}, {32, 87}, {41, 94}, {40, 95}, {33, 86}, {33, 88}, {39, 94}, {37, 92}, {35, 90}, {34, 89}, {39, 92}, {38, 93}, {35, 88}, {36, 89}, {38, 91}, {36, 91}, {37, 90}, {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: (41, 95)
b: (3, 57)
c: (12, 66)
d: (43, 97)
e: (40, 94)
f: (53, 107)
g: (22, 76)
h: (10, 64)
m: (35, 89)
n1: (13, 67)
a1: (9, 63)
b1: (49, 103)
c1: (18, 72)
d1: (37, 91)
e1: (34, 88)
f1: (23, 77)
g1: (6, 60)
h1: (48, 102)
m1: (15, 69)
n2: (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, 105, 106, 107, 108)
a2: (11, 65)
b2: (30, 84)
c2: (46, 100)
d2: (27, 81)
e2: (52, 106)
f2: (47, 101)
g2: (19, 73)
h2: (16, 70)
m2: (31, 85)
n3: (4, 58)
a3: (32, 86)
b3: (44, 98)
c3: (50, 104)
d3: (38, 92)
e3: (25, 79)
f3: (24, 78)
g3: (36, 90)
h3: (39, 93)
m3: (28, 82)
n4: (2, 56)
a4: (8, 62)
b4: (54, 108)
c4: (7, 61)
d4: (17, 71)
e4: (42, 96)
f4: (2, 54)(3, 53)(4, 52)(5, 51)(6, 50)(7, 49)(8, 48)(9, 47)(10, 46)(11, 45)(12, 44)(13, 43)(14, 42)(15, 41)(16, 40)(17, 39)(18, 38)(19, 37)(20, 36)(21, 35)(22, 34)(23, 33)(24, 32)(25, 31)(26, 30)(27, 29)(56, 108)(57, 107)(58, 106)(59, 105)(60, 104)(61, 103)(62, 102)(63, 101)(64, 100)(65, 99)(66, 98)(67, 97)(68, 96)(69, 95)(70, 94)(71, 93)(72, 92)(73, 91)(74, 90)(75, 89)(76, 88)(77, 87)(78, 86)(79, 85)(80, 84)(81, 83)
g4: (21, 75)
h4: (29, 83)
m4: (33, 87)
n5: (5, 59)
a5: (45, 99)
b5: (14, 68)
c5: (51, 105)
d5: (20, 74)

(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[ 108, 1 ]
108
-1 56 2 108 54
-2 55 1 57 3
-3 56 2 58 4
-4 57 3 59 5
-5 58 4 60 6
-6 59 5 61 7
-7 60 6 62 8
-8 61 7 63 9
-9 62 8 64 10
-10 11 63 9 65
-11 66 12 64 10
-12 11 67 13 65
-13 66 12 68 14
-14 67 13 69 15
-15 68 14 70 16
-16 69 15 71 17
-17 70 16 72 18
-18 71 17 73 19
-19 72 18 74 20
-20 73 19 75 21
-21 22 74 20 76
-22 77 23 75 21
-23 22 78 24 76
-24 77 23 79 25
-25 78 24 80 26
-26 79 25 81 27
-27 80 26 82 28
-28 81 27 83 29
-29 82 28 84 30
-30 83 29 85 31
-31 84 30 86 32
-32 33 85 31 87
-33 88 34 86 32
-34 33 89 35 87
-35 88 34 90 36
-36 89 35 91 37
-37 90 36 92 38
-38 91 37 93 39
-39 92 38 94 40
-40 93 39 95 41
-41 94 40 96 42
-42 95 41 97 43
-43 44 96 42 98
-44 99 45 97 43
-45 44 100 46 98
-46 99 45 101 47
-47 100 46 102 48
-48 101 47 103 49
-49 102 48 104 50
-50 103 49 105 51
-51 104 50 106 52
-52 105 51 107 53
-53 106 52 108 54
-54 55 1 107 53
-55 56 2 108 54
-56 55 1 57 3
-57 56 2 58 4
-58 57 3 59 5
-59 58 4 60 6
-60 59 5 61 7
-61 60 6 62 8
-62 61 7 63 9
-63 62 8 64 10
-64 11 63 9 65
-65 66 12 64 10
-66 11 67 13 65
-67 66 12 68 14
-68 67 13 69 15
-69 68 14 70 16
-70 69 15 71 17
-71 70 16 72 18
-72 71 17 73 19
-73 72 18 74 20
-74 73 19 75 21
-75 22 74 20 76
-76 77 23 75 21
-77 22 78 24 76
-78 77 23 79 25
-79 78 24 80 26
-80 79 25 81 27
-81 80 26 82 28
-82 81 27 83 29
-83 82 28 84 30
-84 83 29 85 31
-85 84 30 86 32
-86 33 85 31 87
-87 88 34 86 32
-88 33 89 35 87
-89 88 34 90 36
-90 89 35 91 37
-91 90 36 92 38
-92 91 37 93 39
-93 92 38 94 40
-94 93 39 95 41
-95 94 40 96 42
-96 95 41 97 43
-97 44 96 42 98
-98 99 45 97 43
-99 44 100 46 98
-100 99 45 101 47
-101 100 46 102 48
-102 101 47 103 49
-103 102 48 104 50
-104 103 49 105 51
-105 104 50 106 52
-106 105 51 107 53
-107 106 52 108 54
-108 55 1 107 53
0

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