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On this page are computer-accessible forms for the graph C4[ 45, 3 ] = {4,4}_6,3.

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

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

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