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On this page are computer-accessible forms for the graph C4[ 50, 1 ] = W(25,2).

(I) Following is a form readable by MAGMA:

g:=Graph<50|{ {2, 3}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {18, 19}, {16, 17}, {14, 15}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {20, 21}, {22, 23}, {24, 25}, {26, 27}, {28, 29}, {30, 31}, {32, 33}, {34, 35}, {36, 37}, {38, 39}, {40, 41}, {1, 2}, {49, 50}, {45, 46}, {41, 42}, {17, 18}, {13, 14}, {5, 6}, {9, 10}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {3, 4}, {43, 44}, {19, 20}, {11, 12}, {27, 28}, {35, 36}, {7, 8}, {23, 24}, {39, 40}, {1, 25}, {2, 26}, {3, 27}, {4, 28}, {5, 29}, {6, 30}, {7, 31}, {1, 27}, {4, 30}, {5, 31}, {2, 28}, {3, 29}, {15, 16}, {47, 48}, {6, 32}, {15, 41}, {14, 40}, {7, 33}, {22, 48}, {23, 49}, {8, 32}, {15, 39}, {14, 38}, {13, 37}, {9, 33}, {10, 34}, {11, 35}, {12, 36}, {24, 48}, {25, 49}, {26, 50}, {8, 34}, {13, 39}, {9, 35}, {12, 38}, {24, 50}, {10, 36}, {11, 37}, {1, 50}, {16, 40}, {19, 43}, {18, 42}, {17, 41}, {20, 44}, {21, 45}, {22, 46}, {23, 47}, {16, 42}, {17, 43}, {20, 46}, {21, 47}, {18, 44}, {19, 45}, {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: (17, 42)
b: (9, 34)
c: (24, 49)
d: (18, 43)
e: (25, 50)
f: (10, 35)
g: (20, 45)
h: (5, 30)
m: (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, 50)
n1: (19, 44)
a1: (4, 29)
b1: (7, 32)
c1: (13, 38)
d1: (23, 48)
e1: (11, 36)
f1: (21, 46)
g1: (8, 33)
h1: (15, 40)
m1: (3, 28)
n2: (2, 27)
a2: (22, 47)
b2: (16, 41)
c2: (2, 25)(3, 24)(4, 23)(5, 22)(6, 21)(7, 20)(8, 19)(9, 18)(10, 17)(11, 16)(12, 15)(13, 14)(27, 50)(28, 49)(29, 48)(30, 47)(31, 46)(32, 45)(33, 44)(34, 43)(35, 42)(36, 41)(37, 40)(38, 39)
d2: (6, 31)
e2: (14, 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.

**************

&Graph
C4[ 50, 1 ]
50
-1 2 25 27 50
-2 1 3 26 28
-3 2 4 27 29
-4 3 5 28 30
-5 4 6 29 31
-6 5 7 30 32
-7 33 6 8 31
-8 34 7 9 32
-9 33 35 8 10
-10 11 34 36 9
-11 12 35 37 10
-12 11 13 36 38
-13 12 14 37 39
-14 13 15 38 40
-15 14 16 39 41
-16 15 17 40 42
-17 16 18 41 43
-18 44 17 19 42
-19 45 18 20 43
-20 44 46 19 21
-21 22 45 47 20
-22 23 46 48 21
-23 22 24 47 49
-24 23 25 48 50
-25 1 24 26 49
-26 2 25 27 50
-27 1 3 26 28
-28 2 4 27 29
-29 3 5 28 30
-30 4 6 29 31
-31 5 7 30 32
-32 33 6 8 31
-33 34 7 9 32
-34 33 35 8 10
-35 11 34 36 9
-36 12 35 37 10
-37 11 13 36 38
-38 12 14 37 39
-39 13 15 38 40
-40 14 16 39 41
-41 15 17 40 42
-42 16 18 41 43
-43 44 17 19 42
-44 45 18 20 43
-45 44 46 19 21
-46 22 45 47 20
-47 23 46 48 21
-48 22 24 47 49
-49 23 25 48 50
-50 1 24 26 49
0

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