[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 108, 25 ] = SDD(DW(9,3)).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {54, 55} under the group generated by the following permutations:

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

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

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