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

On this page are computer-accessible forms for the graph C4[ 80, 20 ] = PL(Curtain_10(1,5,2,6,7),[4^10,8^5]).

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {34, 42} under the group generated by the following permutations:

a: (8, 16)(13, 24)(19, 29)(20, 37)(21, 38)(22, 31)(27, 32)(30, 33)(43, 64)(45, 48)(49, 57)(51, 68)(58, 80)(62, 78)(66, 79)(69, 74)
b: (1, 2)(4, 10)(9, 14)(17, 25)(19, 22)(29, 31)(34, 39)(35, 40)(41, 54)(42, 76)(52, 61)(53, 71)
c: (18, 28)(19, 29)(20, 32)(21, 33)(22, 31)(26, 36)(27, 37)(30, 38)(43, 64)(45, 49)(48, 57)(51, 68)(58, 80)(62, 78)(66, 69)(74, 79)
d: (9, 19)(14, 22)(17, 29)(25, 31)(32, 38)(33, 37)(34, 39)(35, 40)(41, 53)(42, 52)(43, 58)(51, 62)(54, 71)(61, 76)(64, 68)(78, 80)
e: (9, 17)(14, 25)(19, 29)(20, 30)(21, 27)(22, 31)(32, 38)(33, 37)(43, 62)(51, 58)(64, 78)(68, 80)
f: (3, 6)(5, 11)(7, 15)(8, 13)(12, 23)(16, 24)(18, 26)(28, 36)(46, 55)(50, 59)(65, 72)(70, 77)
g: (7, 15)(8, 18)(12, 23)(13, 26)(16, 28)(24, 36)(32, 37)(33, 38)(45, 66)(46, 50)(48, 69)(49, 79)(55, 59)(57, 74)(65, 70)(72, 77)
h: (2, 4)(3, 9)(5, 14)(6, 17)(7, 19)(8, 21)(11, 25)(12, 22)(13, 27)(15, 29)(16, 30)(18, 33)(20, 24)(23, 31)(26, 37)(28, 38)(32, 36)(34, 40)(41, 44)(42, 67)(43, 46)(47, 53)(48, 74)(49, 66)(50, 64)(51, 72)(52, 63)(54, 56)(55, 62)(58, 65)(59, 78)(60, 71)(61, 73)(68, 77)(69, 79)(70, 80)(75, 76)
m: (1, 3)(2, 6)(4, 5)(7, 39)(8, 9)(10, 11)(12, 40)(13, 14)(15, 34)(16, 17)(18, 19)(20, 21)(22, 26)(23, 35)(24, 25)(28, 29)(31, 36)(32, 33)(41, 46)(42, 70)(43, 45)(44, 56)(47, 73)(48, 78)(49, 64)(50, 53)(51, 74)(52, 65)(54, 55)(57, 62)(58, 66)(59, 71)(60, 63)(61, 72)(68, 79)(69, 80)(76, 77)
n1: (3, 7)(5, 12)(6, 15)(11, 23)(18, 26)(28, 36)(34, 35)(39, 40)(44, 47)(46, 65)(50, 77)(55, 72)(56, 60)(59, 70)(63, 67)(73, 75)

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

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