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On this page are computer-accessible forms for the graph C4[ 55, 1 ] = C_55(1,21).

(I) Following is a form readable by MAGMA:

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

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

(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.

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&Graph
C4[ 55, 1 ]
55
-1 22 55 2 35
-2 1 23 3 36
-3 2 24 4 37
-4 3 25 5 38
-5 4 26 6 39
-6 5 27 7 40
-7 6 28 8 41
-8 7 29 9 42
-9 8 30 10 43
-10 11 44 9 31
-11 12 45 10 32
-12 11 33 13 46
-13 12 34 14 47
-14 13 35 15 48
-15 14 36 16 49
-16 15 37 17 50
-17 16 38 18 51
-18 17 39 19 52
-19 18 40 20 53
-20 19 41 21 54
-21 22 55 20 42
-22 1 23 21 43
-23 22 44 2 24
-24 23 45 3 25
-25 24 46 4 26
-26 25 47 5 27
-27 26 48 6 28
-28 27 49 7 29
-29 28 50 8 30
-30 29 51 9 31
-31 30 52 10 32
-32 11 33 31 53
-33 12 34 32 54
-34 33 55 13 35
-35 1 34 14 36
-36 2 35 15 37
-37 3 36 16 38
-38 4 37 17 39
-39 5 38 18 40
-40 6 39 19 41
-41 7 40 20 42
-42 8 41 21 43
-43 22 44 9 42
-44 23 45 10 43
-45 11 44 24 46
-46 12 45 25 47
-47 13 46 26 48
-48 14 47 27 49
-49 15 48 28 50
-50 16 49 29 51
-51 17 50 30 52
-52 18 51 31 53
-53 19 52 32 54
-54 33 55 20 53
-55 1 34 21 54
0

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