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

On this page are computer-accessible forms for the graph C4[ 60, 7 ] = R_30(17,16).

(I) Following is a form readable by MAGMA:

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

(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: (8, 37)(9, 24)(10, 54)(23, 52)(25, 39)(38, 53)
b: (4, 33)(5, 20)(6, 50)(19, 48)(21, 35)(34, 49)
c: (14, 43)(15, 59)(29, 58)(30, 44)
d: (6, 35)(7, 22)(8, 52)(21, 50)(23, 37)(36, 51)
e: (12, 41)(13, 28)(14, 58)(27, 56)(29, 43)(42, 57)
f: (10, 39)(11, 26)(12, 56)(25, 54)(27, 41)(40, 55)
g: (7, 36)(8, 52)(22, 51)(23, 37)
h: (11, 40)(12, 56)(26, 55)(27, 41)
m: (5, 34)(6, 50)(20, 49)(21, 35)
n1: (2, 44, 31, 30)(3, 14, 47, 43)(4, 13)(5, 12)(6, 11)(7, 10)(8, 9)(15, 17, 59, 46)(18, 29, 32, 58)(19, 28)(20, 27)(21, 26)(22, 25)(23, 24)(33, 57)(34, 56)(35, 55)(36, 54)(37, 53)(38, 52)(39, 51)(40, 50)(41, 49)(42, 48)(45, 60)
a1: (9, 38)(10, 54)(24, 53)(25, 39)
b1: (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)
c1: (13, 42)(14, 58)(28, 57)(29, 43)

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

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