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On this page are computer-accessible forms for the graph C4[ 60, 4 ] = {4,4}_<8,2>.

(I) Following is a form readable by MAGMA:

g:=Graph<60|{ {2, 3}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {18, 19}, {16, 17}, {14, 15}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {1, 2}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {21, 22}, {25, 26}, {29, 30}, {3, 4}, {59, 60}, {51, 52}, {43, 44}, {35, 36}, {19, 20}, {11, 12}, {27, 28}, {7, 8}, {55, 56}, {39, 40}, {23, 24}, {9, 31}, {1, 31}, {1, 30}, {47, 48}, {15, 16}, {2, 32}, {19, 49}, {18, 48}, {15, 45}, {14, 44}, {3, 33}, {6, 36}, {7, 37}, {10, 40}, {11, 41}, {22, 52}, {23, 53}, {26, 56}, {27, 57}, {30, 60}, {31, 60}, {4, 34}, {13, 43}, {5, 35}, {12, 42}, {20, 50}, {21, 51}, {28, 58}, {29, 59}, {10, 32}, {15, 37}, {14, 36}, {11, 33}, {26, 48}, {27, 49}, {30, 52}, {8, 38}, {13, 35}, {9, 39}, {12, 34}, {24, 54}, {25, 55}, {28, 50}, {29, 51}, {1, 53}, {2, 54}, {3, 55}, {8, 60}, {16, 38}, {17, 39}, {24, 46}, {25, 47}, {18, 40}, {19, 41}, {22, 44}, {23, 45}, {4, 56}, {5, 57}, {6, 58}, {7, 59}, {16, 46}, {17, 47}, {20, 42}, {21, 43}, {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, 30)(3, 29)(4, 28)(5, 27)(6, 26)(7, 25)(8, 24)(9, 23)(10, 22)(11, 21)(12, 20)(13, 19)(14, 18)(15, 17)(31, 53)(32, 52)(33, 51)(34, 50)(35, 49)(36, 48)(37, 47)(38, 46)(39, 45)(40, 44)(41, 43)(54, 60)(55, 59)(56, 58)
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, 53, 54, 55, 56, 57, 58, 59, 60)
c: (2, 53)(3, 23)(4, 45)(5, 15)(6, 37)(8, 59)(9, 29)(10, 51)(11, 21)(12, 43)(14, 35)(16, 57)(17, 27)(18, 49)(20, 41)(22, 33)(24, 55)(26, 47)(28, 39)(30, 31)(32, 52)(34, 44)(38, 58)(40, 50)(46, 56)

(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[ 60, 4 ]
60
-1 2 30 31 53
-2 1 3 32 54
-3 33 55 2 4
-4 34 56 3 5
-5 35 57 4 6
-6 36 58 5 7
-7 37 59 6 8
-8 38 60 7 9
-9 39 8 31 10
-10 11 40 9 32
-11 33 12 41 10
-12 11 34 13 42
-13 12 35 14 43
-14 44 13 36 15
-15 45 14 37 16
-16 46 15 38 17
-17 47 16 39 18
-18 48 17 40 19
-19 49 18 41 20
-20 50 19 42 21
-21 22 51 20 43
-22 44 23 52 21
-23 22 45 24 53
-24 23 46 25 54
-25 55 24 47 26
-26 56 25 48 27
-27 57 26 49 28
-28 58 27 50 29
-29 59 28 51 30
-30 1 60 29 52
-31 1 60 9 32
-32 33 2 31 10
-33 11 34 3 32
-34 33 12 35 4
-35 34 13 36 5
-36 35 14 37 6
-37 36 15 38 7
-38 37 16 39 8
-39 38 17 40 9
-40 39 18 41 10
-41 11 40 19 42
-42 12 41 20 43
-43 44 13 42 21
-44 22 45 14 43
-45 44 23 46 15
-46 45 24 47 16
-47 46 25 48 17
-48 47 26 49 18
-49 48 27 50 19
-50 49 28 51 20
-51 50 29 52 21
-52 22 51 30 53
-53 1 23 52 54
-54 55 2 24 53
-55 56 3 25 54
-56 55 57 4 26
-57 56 58 5 27
-58 57 59 6 28
-59 58 60 7 29
-60 59 8 30 31
0

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