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

On this page are computer-accessible forms for the graph C4[ 48, 6 ] = MPS(4,24;5).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {24, 27} under the group generated by the following permutations:

a: (1, 2)(3, 6)(4, 5)(7, 8)(9, 12)(10, 11)(14, 45)(15, 17)(18, 47)(20, 39)(21, 23)(24, 41)(25, 32)(26, 31)(27, 30)(28, 35)(29, 34)(33, 36)(37, 43)(38, 42)(40, 46)(44, 48)
b: (3, 9)(14, 41)(15, 48)(20, 47)(21, 42)(30, 36)
c: (4, 25)(10, 31)(16, 37)(22, 43)
d: (2, 6)(3, 5)(8, 12)(9, 11)(13, 45)(14, 17)(15, 16)(18, 46)(19, 39)(20, 23)(21, 22)(24, 40)(25, 31)(26, 30)(27, 29)(28, 34)(32, 36)(33, 35)(37, 42)(38, 41)(43, 48)(44, 47)
e: (4, 10)(15, 42)(16, 37)(21, 48)(22, 43)(25, 31)
f: (5, 11)(16, 43)(17, 38)(22, 37)(23, 44)(26, 32)
g: (5, 26)(11, 32)(17, 38)(23, 44)
h: (1, 13, 2, 14, 3, 15, 4, 16, 5, 17, 6, 18, 7, 19, 8, 20, 9, 21, 10, 22, 11, 23, 12, 24)(25, 43, 26, 44, 27, 45, 28, 46, 29, 47, 30, 48, 31, 37, 32, 38, 33, 39, 34, 40, 35, 41, 36, 42)
m: (6, 12)(17, 44)(18, 39)(23, 38)(24, 45)(27, 33)
n1: (6, 27)(12, 33)(18, 39)(24, 45)
a1: (3, 30)(9, 36)(14, 41)(20, 47)

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

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