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On this page are computer-accessible forms for the graph C4[ 48, 1 ] = W(24,2).

(I) Following is a form readable by MAGMA:

g:=Graph<48|{ {2, 3}, {46, 47}, {44, 45}, {20, 21}, {18, 19}, {16, 17}, {14, 15}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {42, 43}, {1, 2}, {45, 46}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {3, 4}, {43, 44}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {7, 8}, {23, 24}, {39, 40}, {8, 31}, {1, 24}, {2, 27}, {3, 26}, {4, 29}, {5, 28}, {6, 31}, {7, 30}, {1, 26}, {2, 25}, {5, 30}, {6, 29}, {3, 28}, {47, 48}, {15, 16}, {4, 27}, {7, 32}, {15, 40}, {23, 48}, {8, 33}, {15, 38}, {14, 39}, {13, 36}, {9, 32}, {10, 35}, {11, 34}, {12, 37}, {25, 48}, {9, 34}, {14, 37}, {13, 38}, {10, 33}, {11, 36}, {12, 35}, {1, 48}, {16, 39}, {24, 47}, {16, 41}, {19, 42}, {18, 43}, {17, 40}, {20, 45}, {21, 44}, {22, 47}, {23, 46}, {17, 42}, {18, 41}, {21, 46}, {22, 45}, {19, 44}, {20, 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: (7, 31)
b: (20, 44)
c: (3, 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, 45, 46, 47, 48)
e: (19, 43)
f: (10, 34)
g: (15, 39)
h: (23, 47)
m: (6, 30)
n1: (24, 48)
a1: (12, 36)
b1: (5, 29)
c1: (18, 42)
d1: (13, 37)
e1: (21, 45)
f1: (17, 41)
g1: (9, 33)
h1: (14, 38)
m1: (4, 28)
n2: (16, 40)
a2: (2, 26)
b2: (8, 32)
c2: (22, 46)
d2: (2, 24)(3, 23)(4, 22)(5, 21)(6, 20)(7, 19)(8, 18)(9, 17)(10, 16)(11, 15)(12, 14)(26, 48)(27, 47)(28, 46)(29, 45)(30, 44)(31, 43)(32, 42)(33, 41)(34, 40)(35, 39)(36, 38)

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

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