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

On this page are computer-accessible forms for the graph C4[ 60, 1 ] = W(30,2).

(I) Following is a form readable by MAGMA:

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

(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: (3, 33)
b: (11, 41)
c: (13, 43)
d: (2, 30)(3, 29)(4, 28)(5, 27)(6, 26)(7, 25)(8, 24)(9, 23)(10, 22)(11, 21)(12, 20)(13, 19)(14, 18)(15, 17)(32, 60)(33, 59)(34, 58)(35, 57)(36, 56)(37, 55)(38, 54)(39, 53)(40, 52)(41, 51)(42, 50)(43, 49)(44, 48)(45, 47)
e: (4, 34)
f: (24, 54)
g: (6, 36)
h: (15, 45)
m: (26, 56)
n1: (27, 57)
a1: (22, 52)
b1: (28, 58)
c1: (30, 60)
d1: (20, 50)
e1: (9, 39)
f1: (25, 55)
g1: (10, 40)
h1: (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)
m1: (18, 48)
n2: (16, 46)
a2: (29, 59)
b2: (21, 51)
c2: (5, 35)
d2: (23, 53)
e2: (19, 49)
f2: (12, 42)
g2: (2, 32)
h2: (17, 47)
m2: (8, 38)
n3: (7, 37)

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

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