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On this page are computer-accessible forms for the graph C4[ 56, 1 ] = W(28,2).

(I) Following is a form readable by MAGMA:

g:=Graph<56|{ {2, 3}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {38, 39}, {36, 37}, {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}, {1, 2}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {37, 38}, {17, 18}, {5, 6}, {9, 10}, {13, 14}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {3, 4}, {51, 52}, {43, 44}, {35, 36}, {19, 20}, {11, 12}, {27, 28}, {7, 8}, {55, 56}, {39, 40}, {23, 24}, {4, 31}, {1, 28}, {2, 31}, {3, 30}, {1, 30}, {47, 48}, {15, 16}, {2, 29}, {3, 32}, {19, 48}, {15, 44}, {7, 36}, {11, 40}, {23, 52}, {27, 56}, {4, 33}, {15, 42}, {14, 43}, {5, 32}, {6, 35}, {7, 34}, {12, 41}, {13, 40}, {20, 49}, {21, 48}, {22, 51}, {23, 50}, {29, 56}, {5, 34}, {14, 41}, {13, 42}, {6, 33}, {21, 50}, {22, 49}, {8, 35}, {12, 39}, {24, 51}, {28, 55}, {8, 37}, {9, 36}, {10, 39}, {11, 38}, {24, 53}, {25, 52}, {26, 55}, {27, 54}, {9, 38}, {10, 37}, {25, 54}, {26, 53}, {1, 56}, {16, 43}, {20, 47}, {16, 45}, {19, 46}, {18, 47}, {17, 44}, {17, 46}, {18, 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, 45)
b: (12, 40)
c: (15, 43)
d: (8, 36)
e: (27, 55)
f: (28, 56)
g: (3, 31)
h: (2, 28)(3, 27)(4, 26)(5, 25)(6, 24)(7, 23)(8, 22)(9, 21)(10, 20)(11, 19)(12, 18)(13, 17)(14, 16)(30, 56)(31, 55)(32, 54)(33, 53)(34, 52)(35, 51)(36, 50)(37, 49)(38, 48)(39, 47)(40, 46)(41, 45)(42, 44)
m: (18, 46)
n1: (20, 48)
a1: (26, 54)
b1: (2, 30)
c1: (7, 35)
d1: (11, 39)
e1: (25, 53)
f1: (19, 47)
g1: (16, 44)
h1: (21, 49)
m1: (10, 38)
n2: (23, 51)
a2: (14, 42)
b2: (5, 33)
c2: (9, 37)
d2: (24, 52)
e2: (6, 34)
f2: (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, 51, 52, 53, 54, 55, 56)
g2: (22, 50)
h2: (4, 32)

(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[ 56, 1 ]
56
-1 56 2 28 30
-2 1 3 29 31
-3 2 4 30 32
-4 33 3 5 31
-5 34 4 6 32
-6 33 35 5 7
-7 34 36 6 8
-8 35 37 7 9
-9 36 38 8 10
-10 11 37 39 9
-11 12 38 40 10
-12 11 13 39 41
-13 12 14 40 42
-14 13 15 41 43
-15 44 14 16 42
-16 45 15 17 43
-17 44 46 16 18
-18 45 47 17 19
-19 46 48 18 20
-20 47 49 19 21
-21 22 48 50 20
-22 23 49 51 21
-23 22 24 50 52
-24 23 25 51 53
-25 24 26 52 54
-26 55 25 27 53
-27 56 26 28 54
-28 55 1 27 29
-29 56 2 28 30
-30 1 3 29 31
-31 2 4 30 32
-32 33 3 5 31
-33 34 4 6 32
-34 33 35 5 7
-35 34 36 6 8
-36 35 37 7 9
-37 36 38 8 10
-38 11 37 39 9
-39 12 38 40 10
-40 11 13 39 41
-41 12 14 40 42
-42 13 15 41 43
-43 44 14 16 42
-44 45 15 17 43
-45 44 46 16 18
-46 45 47 17 19
-47 46 48 18 20
-48 47 49 19 21
-49 22 48 50 20
-50 23 49 51 21
-51 22 24 50 52
-52 23 25 51 53
-53 24 26 52 54
-54 55 25 27 53
-55 56 26 28 54
-56 55 1 27 29
0

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