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On this page are computer-accessible forms for the graph C4[ 112, 11 ] = SDD(R_14(9,8)).

(I) Following is a form readable by MAGMA:

g:=Graph<112|{ {22, 63}, {21, 63}, {20, 63}, {18, 62}, {16, 61}, {19, 62}, {17, 63}, {17, 62}, {12, 60}, {14, 62}, {10, 59}, {13, 60}, {9, 59}, {15, 61}, {8, 59}, {14, 61}, {8, 60}, {11, 61}, {11, 60}, {1, 57}, {3, 57}, {1, 58}, {2, 57}, {6, 58}, {4, 57}, {7, 58}, {5, 59}, {5, 58}, {9, 73}, {30, 94}, {16, 80}, {32, 96}, {28, 93}, {31, 94}, {36, 101}, {39, 102}, {13, 79}, {46, 108}, {29, 95}, {19, 81}, {35, 97}, {43, 105}, {29, 94}, {35, 96}, {2, 70}, {47, 107}, {26, 94}, {24, 92}, {22, 82}, {15, 75}, {10, 78}, {3, 71}, {36, 96}, {38, 98}, {25, 92}, {33, 100}, {37, 96}, {12, 74}, {54, 112}, {27, 93}, {39, 97}, {26, 93}, {45, 106}, {38, 97}, {40, 111}, {44, 107}, {4, 76}, {56, 112}, {28, 84}, {20, 92}, {18, 90}, {42, 98}, {43, 99}, {16, 89}, {45, 100}, {19, 90}, {40, 97}, {7, 77}, {47, 101}, {46, 100}, {25, 83}, {23, 93}, {17, 91}, {17, 90}, {23, 92}, {37, 110}, {41, 98}, {22, 91}, {6, 72}, {21, 91}, {41, 103}, {20, 91}, {31, 80}, {34, 109}, {44, 99}, {6, 86}, {8, 88}, {4, 85}, {7, 86}, {5, 87}, {56, 106}, {11, 89}, {5, 86}, {52, 103}, {11, 88}, {1, 85}, {51, 103}, {50, 102}, {27, 79}, {20, 64}, {14, 90}, {12, 88}, {13, 88}, {48, 101}, {3, 85}, {24, 78}, {23, 65}, {15, 89}, {1, 86}, {49, 102}, {23, 64}, {14, 89}, {2, 85}, {21, 77}, {55, 111}, {26, 66}, {24, 64}, {25, 64}, {30, 71}, {27, 65}, {42, 112}, {26, 65}, {53, 110}, {52, 111}, {30, 66}, {50, 110}, {10, 87}, {53, 104}, {49, 108}, {48, 109}, {31, 66}, {28, 65}, {9, 87}, {55, 105}, {54, 104}, {51, 109}, {29, 67}, {18, 76}, {8, 87}, {29, 66}, {2, 98}, {50, 82}, {47, 79}, {10, 106}, {3, 99}, {36, 68}, {38, 70}, {34, 67}, {49, 80}, {48, 81}, {37, 68}, {6, 100}, {54, 84}, {51, 81}, {33, 67}, {39, 69}, {41, 75}, {32, 67}, {38, 69}, {44, 79}, {45, 78}, {32, 68}, {55, 83}, {45, 72}, {13, 107}, {47, 73}, {46, 72}, {35, 69}, {43, 77}, {35, 68}, {53, 82}, {52, 83}, {15, 103}, {33, 72}, {12, 102}, {44, 71}, {4, 104}, {56, 84}, {28, 112}, {9, 101}, {42, 70}, {43, 71}, {36, 73}, {39, 74}, {40, 69}, {7, 105}, {41, 70}, {27, 107}, {24, 106}, {31, 108}, {34, 81}, {25, 111}, {56, 78}, {37, 82}, {22, 110}, {51, 75}, {50, 74}, {48, 73}, {53, 76}, {18, 104}, {55, 77}, {54, 76}, {40, 83}, {49, 74}, {16, 108}, {21, 105}, {30, 99}, {34, 95}, {19, 109}, {46, 80}, {33, 95}, {42, 84}, {32, 95}, {52, 75} }>;

(II) A more general form is to represent the graph as the orbit of {22, 63} under the group generated by the following permutations:

a: (76, 104)
b: (11, 12)(14, 50)(15, 39)(16, 49)(17, 22)(18, 53)(19, 37)(32, 34)(35, 51)(36, 48)(38, 41)(40, 52)(61, 74)(62, 82)(68, 81)(69, 75)(89, 102)(90, 110)(96, 109)(97, 103)
c: (2, 5)(3, 7)(4, 6)(8, 41)(9, 38)(10, 42)(11, 15)(12, 51)(13, 52)(14, 16)(17, 31)(18, 46)(19, 49)(20, 26)(21, 30)(22, 29)(24, 28)(25, 27)(32, 37)(33, 53)(34, 50)(35, 36)(39, 48)(40, 47)(44, 55)(45, 54)(57, 58)(59, 70)(60, 75)(62, 80)(63, 66)(64, 65)(67, 82)(69, 73)(71, 77)(72, 76)(74, 81)(78, 84)(79, 83)(85, 86)(87, 98)(88, 103)(90, 108)(91, 94)(92, 93)(95, 110)(97, 101)(99, 105)(100, 104)(102, 109)(106, 112)(107, 111)
d: (74, 102)
e: (67, 95)
f: (82, 110)
g: (68, 96)
h: (80, 108)
m: (78, 106)
n1: (71, 99)
a1: (62, 90)
b1: (60, 88)
c1: (81, 109)
d1: (5, 6)(8, 46)(9, 33)(10, 45)(11, 16)(12, 49)(13, 31)(26, 27)(29, 47)(30, 44)(32, 36)(34, 48)(59, 72)(60, 80)(66, 79)(67, 73)(87, 100)(88, 108)(94, 107)(95, 101)
e1: (70, 98)
f1: (75, 103)
g1: (1, 2, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5)(3, 42, 40, 37, 34, 31, 27, 24, 21, 18, 15, 12, 9, 6)(4, 41, 39, 36, 33, 30, 28, 25, 22, 19, 16, 13, 10, 7)(43, 54, 52, 50, 48, 46, 44, 56, 55, 53, 51, 49, 47, 45)(57, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58)(71, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72)(85, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86)(99, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100)
h1: (73, 101)
m1: (72, 100)
n2: (79, 107)
a2: (57, 85)
b2: (83, 111)
c2: (69, 97)
d2: (65, 93)
e2: (8, 9)(11, 36)(12, 48)(13, 47)(14, 37)(15, 35)(16, 32)(17, 22)(18, 53)(19, 50)(29, 31)(33, 46)(34, 49)(38, 41)(39, 51)(40, 52)(60, 73)(61, 68)(62, 82)(67, 80)(69, 75)(74, 81)(88, 101)(89, 96)(90, 110)(95, 108)(97, 103)(102, 109)
f2: (77, 105)
g2: (64, 92)
h2: (58, 86)
m2: (59, 87)
n3: (84, 112)

(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[ 112, 11 ]
112
-1 57 58 85 86
-2 57 70 85 98
-3 99 57 71 85
-4 57 104 85 76
-5 58 59 86 87
-6 100 58 72 86
-7 77 58 105 86
-8 88 59 60 87
-9 101 59 73 87
-10 78 59 106 87
-11 88 89 60 61
-12 88 102 60 74
-13 88 79 60 107
-14 89 90 61 62
-15 89 103 61 75
-16 89 80 61 108
-17 90 91 62 63
-18 90 104 62 76
-19 90 81 62 109
-20 91 92 63 64
-21 77 91 105 63
-22 110 91 82 63
-23 92 93 64 65
-24 78 92 106 64
-25 111 92 83 64
-26 66 93 94 65
-27 79 93 107 65
-28 112 93 84 65
-29 66 67 94 95
-30 66 99 71 94
-31 66 80 94 108
-32 67 68 95 96
-33 67 100 72 95
-34 67 81 95 109
-35 68 69 96 97
-36 68 101 73 96
-37 110 68 82 96
-38 69 70 97 98
-39 69 102 74 97
-40 111 69 83 97
-41 70 103 75 98
-42 112 70 84 98
-43 77 99 71 105
-44 99 79 71 107
-45 78 100 72 106
-46 100 80 72 108
-47 79 101 73 107
-48 101 81 73 109
-49 80 102 74 108
-50 110 102 82 74
-51 81 103 75 109
-52 111 103 83 75
-53 110 82 104 76
-54 112 104 84 76
-55 77 111 83 105
-56 78 112 84 106
-57 1 2 3 4
-58 1 5 6 7
-59 5 8 9 10
-60 11 12 13 8
-61 11 14 15 16
-62 14 17 18 19
-63 22 17 20 21
-64 23 24 25 20
-65 23 26 27 28
-66 26 29 30 31
-67 33 34 29 32
-68 35 36 37 32
-69 35 38 39 40
-70 2 38 41 42
-71 44 3 30 43
-72 33 45 46 6
-73 36 47 48 9
-74 12 49 39 50
-75 15 51 41 52
-76 4 18 53 54
-77 55 7 21 43
-78 45 56 24 10
-79 44 13 47 27
-80 46 16 49 31
-81 34 48 51 19
-82 22 37 50 53
-83 55 25 40 52
-84 56 28 42 54
-85 1 2 3 4
-86 1 5 6 7
-87 5 8 9 10
-88 11 12 13 8
-89 11 14 15 16
-90 14 17 18 19
-91 22 17 20 21
-92 23 24 25 20
-93 23 26 27 28
-94 26 29 30 31
-95 33 34 29 32
-96 35 36 37 32
-97 35 38 39 40
-98 2 38 41 42
-99 44 3 30 43
-100 33 45 46 6
-101 36 47 48 9
-102 12 49 39 50
-103 15 51 41 52
-104 4 18 53 54
-105 55 7 21 43
-106 45 56 24 10
-107 44 13 47 27
-108 46 16 49 31
-109 34 48 51 19
-110 22 37 50 53
-111 55 25 40 52
-112 56 28 42 54
0

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