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

On this page are computer-accessible forms for the graph C4[ 84, 8 ] = R_42(23,22).

(I) Following is a form readable by MAGMA:

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

(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: (20, 61)(21, 83)(41, 82)(42, 62)
b: (6, 47)(7, 28)(8, 70)(27, 68)(29, 49)(48, 69)
c: (2, 62, 43, 42)(3, 20, 65, 61)(4, 19)(5, 18)(6, 17)(7, 16)(8, 15)(9, 14)(10, 13)(11, 12)(21, 23, 83, 64)(24, 41, 44, 82)(25, 40)(26, 39)(27, 38)(28, 37)(29, 36)(30, 35)(31, 34)(32, 33)(45, 81)(46, 80)(47, 79)(48, 78)(49, 77)(50, 76)(51, 75)(52, 74)(53, 73)(54, 72)(55, 71)(56, 70)(57, 69)(58, 68)(59, 67)(60, 66)(63, 84)
d: (10, 51)(11, 32)(12, 74)(31, 72)(33, 53)(52, 73)
e: (18, 59)(19, 40)(20, 82)(39, 80)(41, 61)(60, 81)
f: (9, 50)(10, 72)(30, 71)(31, 51)
g: (11, 52)(12, 74)(32, 73)(33, 53)
h: (7, 48)(8, 70)(28, 69)(29, 49)
m: (12, 53)(13, 34)(14, 76)(33, 74)(35, 55)(54, 75)
n1: (13, 54)(14, 76)(34, 75)(35, 55)
a1: (15, 56)(16, 78)(36, 77)(37, 57)
b1: (4, 45)(5, 26)(6, 68)(25, 66)(27, 47)(46, 67)
c1: (14, 55)(15, 36)(16, 78)(35, 76)(37, 57)(56, 77)
d1: (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)
e1: (16, 57)(17, 38)(18, 80)(37, 78)(39, 59)(58, 79)
f1: (17, 58)(18, 80)(38, 79)(39, 59)
g1: (19, 60)(20, 82)(40, 81)(41, 61)
h1: (5, 46)(6, 68)(26, 67)(27, 47)
m1: (8, 49)(9, 30)(10, 72)(29, 70)(31, 51)(50, 71)

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

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