C4graphGraph forms for C4 [ 96, 7 ] = {4,4}_<14,10>

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

On this page are computer-accessible forms for the graph C4[ 96, 7 ] = {4,4}_<14,10>.

(I) Following is a form readable by MAGMA:

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

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

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