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On this page are computer-accessible forms for the graph C4[ 44, 2 ] = R_22(13,12).

(I) Following is a form readable by MAGMA:

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

(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: (4, 25)(5, 16)(6, 38)(15, 36)(17, 27)(26, 37)
b: (8, 29)(9, 20)(10, 42)(19, 40)(21, 31)(30, 41)
c: (5, 26)(6, 38)(16, 37)(17, 27)
d: (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)
e: (9, 30)(10, 42)(20, 41)(21, 31)
f: (7, 28)(8, 40)(18, 39)(19, 29)
g: (2, 32, 23, 22)(3, 10, 35, 31)(4, 9)(5, 8)(6, 7)(11, 13, 43, 34)(14, 21, 24, 42)(15, 20)(16, 19)(17, 18)(25, 41)(26, 40)(27, 39)(28, 38)(29, 37)(30, 36)(33, 44)
h: (10, 31)(11, 43)(21, 42)(22, 32)
m: (6, 27)(7, 18)(8, 40)(17, 38)(19, 29)(28, 39)

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

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