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

On this page are computer-accessible forms for the graph C4[ 64, 4 ] = {4,4}_<10,6>.

(I) Following is a form readable by MAGMA:

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

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

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