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

On this page are computer-accessible forms for the graph C4[ 68, 2 ] = {4,4}_8,2.

(I) Following is a form readable by MAGMA:

g:=Graph<68|{ {2, 3}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {22, 23}, {20, 21}, {18, 19}, {16, 17}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {48, 49}, {50, 51}, {1, 2}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {21, 22}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {3, 4}, {67, 68}, {59, 60}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {43, 44}, {51, 52}, {32, 40}, {33, 41}, {34, 42}, {7, 8}, {55, 56}, {23, 24}, {39, 40}, {15, 16}, {47, 48}, {1, 35}, {21, 55}, {20, 54}, {17, 51}, {16, 50}, {4, 38}, {5, 39}, {8, 42}, {9, 43}, {12, 46}, {13, 47}, {24, 58}, {25, 59}, {28, 62}, {29, 63}, {1, 34}, {2, 36}, {19, 53}, {18, 52}, {3, 37}, {10, 44}, {11, 45}, {26, 60}, {27, 61}, {1, 43}, {21, 63}, {20, 62}, {17, 59}, {16, 58}, {4, 46}, {5, 47}, {2, 44}, {23, 57}, {22, 56}, {19, 61}, {18, 60}, {3, 45}, {6, 40}, {7, 41}, {6, 48}, {15, 57}, {7, 49}, {14, 56}, {27, 35}, {28, 36}, {29, 37}, {30, 38}, {31, 39}, {8, 50}, {9, 51}, {12, 54}, {13, 55}, {10, 52}, {15, 49}, {11, 53}, {14, 48}, {31, 32}, {22, 64}, {23, 65}, {24, 66}, {25, 67}, {26, 68}, {30, 64}, {31, 65}, {32, 66}, {33, 67}, {34, 68}, {35, 68}, {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)
b: (2, 34)(3, 33)(4, 32)(5, 31)(6, 30)(7, 29)(8, 28)(9, 27)(10, 26)(11, 25)(12, 24)(13, 23)(14, 22)(15, 21)(16, 20)(17, 19)(35, 43)(36, 42)(37, 41)(38, 40)(44, 68)(45, 67)(46, 66)(47, 65)(48, 64)(49, 63)(50, 62)(51, 61)(52, 60)(53, 59)(54, 58)(55, 57)
c: (2, 43, 34, 35)(3, 9, 33, 27)(4, 51, 32, 61)(5, 17, 31, 19)(6, 59, 30, 53)(7, 25, 29, 11)(8, 67, 28, 45)(10, 41, 26, 37)(12, 49, 24, 63)(13, 15, 23, 21)(14, 57, 22, 55)(16, 65, 20, 47)(18, 39)(36, 44, 42, 68)(38, 52, 40, 60)(46, 50, 66, 62)(48, 58, 64, 54)

(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[ 68, 2 ]
68
-1 34 2 35 43
-2 44 1 3 36
-3 45 2 4 37
-4 46 3 5 38
-5 47 4 6 39
-6 48 5 7 40
-7 49 6 8 41
-8 50 7 9 42
-9 51 8 10 43
-10 11 44 52 9
-11 12 45 53 10
-12 11 13 46 54
-13 55 12 14 47
-14 56 13 15 48
-15 57 14 16 49
-16 58 15 17 50
-17 59 16 18 51
-18 60 17 19 52
-19 61 18 20 53
-20 62 19 21 54
-21 22 55 63 20
-22 23 56 64 21
-23 22 24 57 65
-24 66 23 25 58
-25 67 24 26 59
-26 68 25 27 60
-27 35 26 28 61
-28 36 27 29 62
-29 37 28 30 63
-30 38 29 31 64
-31 39 30 32 65
-32 33 66 40 31
-33 34 67 41 32
-34 33 1 68 42
-35 1 68 36 27
-36 2 35 37 28
-37 3 36 38 29
-38 4 37 39 30
-39 5 38 40 31
-40 6 39 41 32
-41 33 7 40 42
-42 34 8 41 43
-43 44 1 9 42
-44 45 2 10 43
-45 11 44 46 3
-46 12 45 47 4
-47 13 46 48 5
-48 14 47 49 6
-49 15 48 50 7
-50 16 49 51 8
-51 17 50 52 9
-52 18 51 53 10
-53 11 19 52 54
-54 55 12 20 53
-55 56 13 21 54
-56 22 55 57 14
-57 23 56 58 15
-58 24 57 59 16
-59 25 58 60 17
-60 26 59 61 18
-61 27 60 62 19
-62 28 61 63 20
-63 29 62 64 21
-64 22 30 63 65
-65 66 23 31 64
-66 67 24 32 65
-67 33 66 68 25
-68 34 67 35 26
0

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