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On this page are computer-accessible forms for the graph C4[ 48, 4 ] = {4,4}_[6,4].

(I) Following is a form readable by MAGMA:

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

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

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