C4graphGraph forms for C4 [ 48, 5 ] = {4,4}_<8,4>

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On this page are computer-accessible forms for the graph C4[ 48, 5 ] = {4,4}_<8,4>.

(I) Following is a form readable by MAGMA:

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

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

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