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

On this page are computer-accessible forms for the graph C4[ 55, 3 ] = PS(5,11;3).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {32, 34} under the group generated by the following permutations:

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

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

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