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On this page are computer-accessible forms for the graph C4[ 44, 1 ] = W(22,2).

(I) Following is a form readable by MAGMA:

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

(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: (6, 28)
b: (2, 24)
c: (17, 39)
d: (11, 33)
e: (15, 37)
f: (7, 29)
g: (18, 40)
h: (16, 38)
m: (4, 26)
n1: (22, 44)
a1: (14, 36)
b1: (12, 34)
c1: (19, 41)
d1: (5, 27)
e1: (21, 43)
f1: (20, 42)
g1: (3, 25)
h1: (2, 22)(3, 21)(4, 20)(5, 19)(6, 18)(7, 17)(8, 16)(9, 15)(10, 14)(11, 13)(24, 44)(25, 43)(26, 42)(27, 41)(28, 40)(29, 39)(30, 38)(31, 37)(32, 36)(33, 35)
m1: (9, 31)
n2: (13, 35)
a2: (8, 30)
b2: (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)

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

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