[Home] [Table] [Glossary] [Families]

On this page are computer-accessible forms for the graph C4[ 86, 1 ] = W(43,2).

(I) Following is a form readable by MAGMA:

g:=Graph<86|{ {2, 3}, {84, 85}, {82, 83}, {80, 81}, {78, 79}, {76, 77}, {74, 75}, {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}, {68, 69}, {70, 71}, {72, 73}, {1, 2}, {85, 86}, {81, 82}, {77, 78}, {73, 74}, {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}, {69, 70}, {3, 4}, {83, 84}, {75, 76}, {27, 28}, {11, 12}, {19, 20}, {35, 36}, {43, 44}, {51, 52}, {59, 60}, {67, 68}, {7, 8}, {23, 24}, {39, 40}, {55, 56}, {71, 72}, {15, 16}, {79, 80}, {47, 48}, {1, 43}, {21, 63}, {20, 62}, {4, 46}, {5, 47}, {16, 58}, {17, 59}, {1, 45}, {19, 63}, {2, 46}, {3, 47}, {16, 60}, {17, 61}, {18, 62}, {2, 44}, {19, 61}, {3, 45}, {18, 60}, {4, 48}, {5, 49}, {6, 50}, {7, 51}, {12, 56}, {13, 57}, {14, 58}, {15, 59}, {6, 48}, {7, 49}, {14, 56}, {15, 57}, {8, 50}, {9, 51}, {12, 54}, {13, 55}, {8, 52}, {9, 53}, {10, 54}, {11, 55}, {10, 52}, {11, 53}, {31, 32}, {20, 64}, {31, 75}, {30, 74}, {29, 73}, {28, 72}, {23, 67}, {22, 66}, {21, 65}, {22, 64}, {31, 73}, {30, 72}, {23, 65}, {1, 86}, {24, 66}, {29, 71}, {28, 70}, {25, 67}, {24, 68}, {27, 71}, {26, 70}, {25, 69}, {26, 68}, {27, 69}, {32, 74}, {33, 75}, {36, 78}, {37, 79}, {32, 76}, {33, 77}, {34, 78}, {35, 79}, {34, 76}, {35, 77}, {36, 80}, {37, 81}, {38, 82}, {39, 83}, {38, 80}, {39, 81}, {40, 82}, {41, 83}, {44, 86}, {40, 84}, {41, 85}, {42, 86}, {42, 84}, {43, 85}, {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, 72)
b: (43, 86)
c: (39, 82)
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, 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)
e: (2, 45)
f: (11, 54)
g: (10, 53)
h: (16, 59)
m: (26, 69)
n1: (22, 65)
a1: (13, 56)
b1: (35, 78)
c1: (9, 52)
d1: (31, 74)
e1: (24, 67)
f1: (42, 85)
g1: (28, 71)
h1: (41, 84)
m1: (4, 47)
n2: (8, 51)
a2: (14, 57)
b2: (12, 55)
c2: (17, 60)
d2: (36, 79)
e2: (27, 70)
f2: (15, 58)
g2: (32, 75)
h2: (19, 62)
m2: (25, 68)
n3: (7, 50)
a3: (38, 81)
b3: (20, 63)
c3: (5, 48)
d3: (33, 76)
e3: (18, 61)
f3: (40, 83)
g3: (6, 49)
h3: (23, 66)
m3: (37, 80)
n4: (3, 46)
a4: (2, 43)(3, 42)(4, 41)(5, 40)(6, 39)(7, 38)(8, 37)(9, 36)(10, 35)(11, 34)(12, 33)(13, 32)(14, 31)(15, 30)(16, 29)(17, 28)(18, 27)(19, 26)(20, 25)(21, 24)(22, 23)(45, 86)(46, 85)(47, 84)(48, 83)(49, 82)(50, 81)(51, 80)(52, 79)(53, 78)(54, 77)(55, 76)(56, 75)(57, 74)(58, 73)(59, 72)(60, 71)(61, 70)(62, 69)(63, 68)(64, 67)(65, 66)
b4: (30, 73)
c4: (34, 77)

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

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