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On this page are computer-accessible forms for the graph C4[ 45, 1 ] = C_45(1,19).

(I) Following is a form readable by MAGMA:

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

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

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