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On this page are computer-accessible forms for the graph C4[ 52, 2 ] = {4,4}_6,4.

(I) Following is a form readable by MAGMA:

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

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

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