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On this page are computer-accessible forms for the graph C4[ 46, 1 ] = W(23,2).

(I) Following is a form readable by MAGMA:

g:=Graph<46|{ {2, 3}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {34, 35}, {32, 33}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {12, 13}, {10, 11}, {8, 9}, {6, 7}, {4, 5}, {14, 15}, {16, 17}, {18, 19}, {1, 2}, {45, 46}, {41, 42}, {37, 38}, {33, 34}, {29, 30}, {25, 26}, {21, 22}, {9, 10}, {5, 6}, {13, 14}, {17, 18}, {3, 4}, {43, 44}, {35, 36}, {27, 28}, {11, 12}, {19, 20}, {7, 8}, {39, 40}, {23, 24}, {1, 23}, {9, 31}, {8, 30}, {1, 25}, {7, 31}, {6, 30}, {5, 29}, {4, 28}, {3, 27}, {2, 26}, {2, 24}, {7, 29}, {6, 28}, {3, 25}, {4, 26}, {5, 27}, {15, 16}, {8, 32}, {12, 36}, {11, 35}, {10, 34}, {9, 33}, {13, 37}, {14, 38}, {15, 39}, {10, 32}, {11, 33}, {14, 36}, {15, 37}, {12, 34}, {13, 35}, {1, 46}, {16, 38}, {24, 46}, {17, 39}, {16, 40}, {22, 46}, {21, 45}, {20, 44}, {17, 41}, {18, 42}, {19, 43}, {18, 40}, {23, 45}, {22, 44}, {19, 41}, {20, 42}, {21, 43}, {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: (16, 39)
b: (15, 38)
c: (17, 40)
d: (18, 41)
e: (3, 26)
f: (5, 28)
g: (19, 42)
h: (13, 36)
m: (23, 46)
n1: (10, 33)
a1: (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)
b1: (4, 27)
c1: (14, 37)
d1: (12, 35)
e1: (2, 25)
f1: (20, 43)
g1: (9, 32)
h1: (2, 23)(3, 22)(4, 21)(5, 20)(6, 19)(7, 18)(8, 17)(9, 16)(10, 15)(11, 14)(12, 13)(25, 46)(26, 45)(27, 44)(28, 43)(29, 42)(30, 41)(31, 40)(32, 39)(33, 38)(34, 37)(35, 36)
m1: (22, 45)
n2: (8, 31)
a2: (21, 44)
b2: (6, 29)
c2: (7, 30)

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

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