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On this page are computer-accessible forms for the graph C4[ 49, 1 ] = {4,4}_7,0.

(I) Following is a form readable by MAGMA:

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

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