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

On this page are computer-accessible forms for the graph C4[ 50, 4 ] = PS(10,5;2).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {9, 11} under the group generated by the following permutations:

a: (2, 5)(3, 4)(7, 10)(8, 9)(12, 15)(13, 14)(17, 20)(18, 19)(22, 25)(23, 24)(27, 30)(28, 29)(32, 35)(33, 34)(37, 40)(38, 39)(42, 45)(43, 44)(47, 50)(48, 49)
b: (1, 6, 11, 16, 21, 26, 31, 36, 41, 46)(2, 8, 15, 19, 22, 28, 35, 39, 42, 48, 5, 9, 12, 18, 25, 29, 32, 38, 45, 49)(3, 10, 14, 17, 23, 30, 34, 37, 43, 50, 4, 7, 13, 20, 24, 27, 33, 40, 44, 47)
c: (1, 2)(3, 5)(6, 7)(8, 10)(11, 12)(13, 15)(16, 17)(18, 20)(21, 22)(23, 25)(26, 27)(28, 30)(31, 32)(33, 35)(36, 37)(38, 40)(41, 42)(43, 45)(46, 47)(48, 50)
d: (2, 3, 5, 4)(6, 46)(7, 48, 10, 49)(8, 50, 9, 47)(11, 41)(12, 43, 15, 44)(13, 45, 14, 42)(16, 36)(17, 38, 20, 39)(18, 40, 19, 37)(21, 31)(22, 33, 25, 34)(23, 35, 24, 32)(27, 28, 30, 29)

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

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