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On this page are computer-accessible forms for the graph C4[ 90, 1 ] = W(45,2).

(I) Following is a form readable by MAGMA:

g:=Graph<90|{ {2, 3}, {88, 89}, {86, 87}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {30, 31}, {28, 29}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {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, 57}, {58, 59}, {60, 61}, {62, 63}, {64, 65}, {66, 67}, {1, 2}, {89, 90}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {69, 70}, {29, 30}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {57, 58}, {61, 62}, {65, 66}, {3, 4}, {83, 84}, {75, 76}, {67, 68}, {27, 28}, {11, 12}, {19, 20}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {7, 8}, {87, 88}, {71, 72}, {23, 24}, {39, 40}, {55, 56}, {15, 16}, {79, 80}, {47, 48}, {1, 45}, {19, 63}, {2, 46}, {3, 47}, {16, 60}, {17, 61}, {18, 62}, {1, 47}, {16, 62}, {17, 63}, {2, 48}, {3, 49}, {6, 52}, {7, 53}, {10, 56}, {11, 57}, {14, 60}, {15, 61}, {4, 48}, {5, 49}, {6, 50}, {7, 51}, {12, 56}, {13, 57}, {14, 58}, {15, 59}, {4, 50}, {5, 51}, {12, 58}, {13, 59}, {8, 52}, {9, 53}, {10, 54}, {11, 55}, {8, 54}, {9, 55}, {31, 32}, {18, 64}, {30, 76}, {27, 73}, {26, 72}, {23, 69}, {22, 68}, {19, 65}, {31, 77}, {20, 64}, {31, 75}, {30, 74}, {29, 73}, {28, 72}, {23, 67}, {22, 66}, {21, 65}, {20, 66}, {29, 75}, {28, 74}, {21, 67}, {1, 90}, {24, 68}, {27, 71}, {26, 70}, {25, 69}, {24, 70}, {25, 71}, {32, 76}, {33, 77}, {34, 78}, {35, 79}, {32, 78}, {33, 79}, {34, 80}, {35, 81}, {38, 84}, {39, 85}, {42, 88}, {43, 89}, {36, 80}, {37, 81}, {38, 82}, {39, 83}, {44, 88}, {45, 89}, {46, 90}, {36, 82}, {37, 83}, {44, 90}, {40, 84}, {41, 85}, {42, 86}, {43, 87}, {40, 86}, {41, 87}, {63, 64} }>;

(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: (29, 74)
b: (44, 89)
c: (24, 69)
d: (21, 66)
e: (12, 57)
f: (33, 78)
g: (30, 75)
h: (28, 73)
m: (17, 62)
n1: (2, 47)
a1: (43, 88)
b1: (5, 50)
c1: (9, 54)
d1: (36, 81)
e1: (25, 70)
f1: (8, 53)
g1: (19, 64)
h1: (23, 68)
m1: (7, 52)
n2: (20, 65)
a2: (41, 86)
b2: (3, 48)
c2: (40, 85)
d2: (26, 71)
e2: (6, 51)
f2: (18, 63)
g2: (42, 87)
h2: (27, 72)
m2: (39, 84)
n3: (38, 83)
a3: (31, 76)
b3: (35, 80)
c3: (16, 61)
d3: (45, 90)
e3: (37, 82)
f3: (2, 45)(3, 44)(4, 43)(5, 42)(6, 41)(7, 40)(8, 39)(9, 38)(10, 37)(11, 36)(12, 35)(13, 34)(14, 33)(15, 32)(16, 31)(17, 30)(18, 29)(19, 28)(20, 27)(21, 26)(22, 25)(23, 24)(47, 90)(48, 89)(49, 88)(50, 87)(51, 86)(52, 85)(53, 84)(54, 83)(55, 82)(56, 81)(57, 80)(58, 79)(59, 78)(60, 77)(61, 76)(62, 75)(63, 74)(64, 73)(65, 72)(66, 71)(67, 70)(68, 69)
g3: (11, 56)
h3: (13, 58)
m3: (15, 60)
n4: (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, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90)
a4: (10, 55)
b4: (32, 77)
c4: (34, 79)
d4: (4, 49)
e4: (14, 59)

(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[ 90, 1 ]
90
-1 45 2 90 47
-2 1 46 3 48
-3 2 47 4 49
-4 3 48 5 50
-5 4 49 6 51
-6 5 50 7 52
-7 6 51 8 53
-8 7 52 9 54
-9 55 8 53 10
-10 11 56 9 54
-11 55 12 57 10
-12 11 56 13 58
-13 12 57 14 59
-14 13 58 15 60
-15 14 59 16 61
-16 15 60 17 62
-17 16 61 18 63
-18 17 62 19 64
-19 18 63 20 65
-20 66 19 64 21
-21 22 67 20 65
-22 66 23 68 21
-23 22 67 24 69
-24 23 68 25 70
-25 24 69 26 71
-26 25 70 27 72
-27 26 71 28 73
-28 27 72 29 74
-29 28 73 30 75
-30 29 74 31 76
-31 77 30 75 32
-32 33 78 31 76
-33 77 34 79 32
-34 33 78 35 80
-35 34 79 36 81
-36 35 80 37 82
-37 36 81 38 83
-38 37 82 39 84
-39 38 83 40 85
-40 39 84 41 86
-41 40 85 42 87
-42 88 41 86 43
-43 44 89 42 87
-44 88 45 90 43
-45 44 1 89 46
-46 45 2 90 47
-47 1 46 3 48
-48 2 47 4 49
-49 3 48 5 50
-50 4 49 6 51
-51 5 50 7 52
-52 6 51 8 53
-53 7 52 9 54
-54 55 8 53 10
-55 11 56 9 54
-56 55 12 57 10
-57 11 56 13 58
-58 12 57 14 59
-59 13 58 15 60
-60 14 59 16 61
-61 15 60 17 62
-62 16 61 18 63
-63 17 62 19 64
-64 18 63 20 65
-65 66 19 64 21
-66 22 67 20 65
-67 66 23 68 21
-68 22 67 24 69
-69 23 68 25 70
-70 24 69 26 71
-71 25 70 27 72
-72 26 71 28 73
-73 27 72 29 74
-74 28 73 30 75
-75 29 74 31 76
-76 77 30 75 32
-77 33 78 31 76
-78 77 34 79 32
-79 33 78 35 80
-80 34 79 36 81
-81 35 80 37 82
-82 36 81 38 83
-83 37 82 39 84
-84 38 83 40 85
-85 39 84 41 86
-86 40 85 42 87
-87 88 41 86 43
-88 44 89 42 87
-89 88 45 90 43
-90 44 1 89 46
0

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