C4graphGraph forms for C4 [ 194, 1 ] = W(97,2)

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

On this page are computer-accessible forms for the graph C4[ 194, 1 ] = W(97,2).

(I) Following is a form readable by MAGMA:

g:=Graph<194|{ {2, 3}, {192, 193}, {190, 191}, {188, 189}, {186, 187}, {184, 185}, {182, 183}, {180, 181}, {178, 179}, {176, 177}, {174, 175}, {172, 173}, {170, 171}, {168, 169}, {166, 167}, {164, 165}, {162, 163}, {160, 161}, {158, 159}, {156, 157}, {154, 155}, {152, 153}, {150, 151}, {148, 149}, {146, 147}, {144, 145}, {142, 143}, {140, 141}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {52, 53}, {50, 51}, {48, 49}, {46, 47}, {44, 45}, {42, 43}, {40, 41}, {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}, {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, 91}, {92, 93}, {94, 95}, {96, 97}, {98, 99}, {100, 101}, {102, 103}, {104, 105}, {106, 107}, {108, 109}, {110, 111}, {112, 113}, {114, 115}, {116, 117}, {118, 119}, {120, 121}, {122, 123}, {124, 125}, {126, 127}, {128, 129}, {130, 131}, {132, 133}, {134, 135}, {136, 137}, {138, 139}, {1, 2}, {193, 194}, {189, 190}, {185, 186}, {181, 182}, {177, 178}, {173, 174}, {169, 170}, {165, 166}, {161, 162}, {157, 158}, {153, 154}, {149, 150}, {145, 146}, {141, 142}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {49, 50}, {45, 46}, {41, 42}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {21, 22}, {25, 26}, {29, 30}, {33, 34}, {37, 38}, {69, 70}, {73, 74}, {77, 78}, {81, 82}, {85, 86}, {89, 90}, {93, 94}, {97, 98}, {101, 102}, {105, 106}, {109, 110}, {113, 114}, {117, 118}, {121, 122}, {125, 126}, {129, 130}, {133, 134}, {137, 138}, {3, 4}, {187, 188}, {179, 180}, {171, 172}, {163, 164}, {155, 156}, {147, 148}, {139, 140}, {59, 60}, {51, 52}, {43, 44}, {11, 12}, {19, 20}, {27, 28}, {35, 36}, {67, 68}, {75, 76}, {83, 84}, {91, 92}, {99, 100}, {107, 108}, {115, 116}, {123, 124}, {131, 132}, {7, 8}, {183, 184}, {167, 168}, {151, 152}, {55, 56}, {39, 40}, {23, 24}, {71, 72}, {87, 88}, {103, 104}, {119, 120}, {135, 136}, {15, 16}, {175, 176}, {143, 144}, {47, 48}, {79, 80}, {111, 112}, {31, 32}, {159, 160}, {95, 96}, {1, 97}, {2, 98}, {3, 99}, {4, 100}, {5, 101}, {6, 102}, {7, 103}, {8, 104}, {9, 105}, {10, 106}, {11, 107}, {12, 108}, {13, 109}, {14, 110}, {15, 111}, {16, 112}, {17, 113}, {18, 114}, {19, 115}, {20, 116}, {21, 117}, {22, 118}, {23, 119}, {24, 120}, {25, 121}, {26, 122}, {27, 123}, {28, 124}, {29, 125}, {30, 126}, {31, 127}, {1, 99}, {4, 102}, {5, 103}, {8, 106}, {9, 107}, {12, 110}, {13, 111}, {16, 114}, {17, 115}, {20, 118}, {21, 119}, {24, 122}, {25, 123}, {28, 126}, {29, 127}, {2, 100}, {3, 101}, {10, 108}, {11, 109}, {18, 116}, {19, 117}, {26, 124}, {27, 125}, {6, 104}, {7, 105}, {22, 120}, {23, 121}, {14, 112}, {15, 113}, {63, 64}, {191, 192}, {30, 128}, {63, 161}, {62, 160}, {31, 129}, {94, 192}, {95, 193}, {32, 128}, {63, 159}, {62, 158}, {61, 157}, {60, 156}, {59, 155}, {58, 154}, {57, 153}, {56, 152}, {55, 151}, {54, 150}, {53, 149}, {52, 148}, {51, 147}, {50, 146}, {49, 145}, {48, 144}, {47, 143}, {46, 142}, {45, 141}, {44, 140}, {43, 139}, {42, 138}, {41, 137}, {40, 136}, {39, 135}, {33, 129}, {34, 130}, {35, 131}, {36, 132}, {37, 133}, {38, 134}, {96, 192}, {97, 193}, {98, 194}, {32, 130}, {61, 159}, {60, 158}, {57, 155}, {56, 154}, {53, 151}, {52, 150}, {49, 147}, {48, 146}, {45, 143}, {44, 142}, {41, 139}, {40, 138}, {33, 131}, {36, 134}, {37, 135}, {96, 194}, {34, 132}, {59, 157}, {58, 156}, {51, 149}, {50, 148}, {43, 141}, {42, 140}, {35, 133}, {38, 136}, {55, 153}, {54, 152}, {39, 137}, {46, 144}, {47, 145}, {1, 194}, {64, 160}, {65, 161}, {66, 162}, {67, 163}, {68, 164}, {69, 165}, {70, 166}, {71, 167}, {72, 168}, {73, 169}, {74, 170}, {75, 171}, {76, 172}, {77, 173}, {78, 174}, {79, 175}, {80, 176}, {81, 177}, {82, 178}, {83, 179}, {84, 180}, {85, 181}, {86, 182}, {87, 183}, {88, 184}, {89, 185}, {90, 186}, {91, 187}, {92, 188}, {93, 189}, {94, 190}, {95, 191}, {64, 162}, {65, 163}, {68, 166}, {69, 167}, {72, 170}, {73, 171}, {76, 174}, {77, 175}, {80, 178}, {81, 179}, {84, 182}, {85, 183}, {88, 186}, {89, 187}, {92, 190}, {93, 191}, {66, 164}, {67, 165}, {74, 172}, {75, 173}, {82, 180}, {83, 181}, {90, 188}, {91, 189}, {70, 168}, {71, 169}, {86, 184}, {87, 185}, {78, 176}, {79, 177}, {127, 128} }>;

(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: (4, 101)
b: (28, 125)
c: (40, 137)
d: (68, 165)
e: (3, 100)
f: (31, 128)
g: (30, 127)
h: (69, 166)
m: (29, 126)
n1: (70, 167)
a1: (71, 168)
b1: (27, 124)
c1: (26, 123)
d1: (73, 170)
e1: (25, 122)
f1: (74, 171)
g1: (75, 172)
h1: (23, 120)
m1: (22, 119)
n2: (77, 174)
a2: (21, 118)
b2: (78, 175)
c2: (95, 192)
d2: (94, 191)
e2: (5, 102)
f2: (93, 190)
g2: (6, 103)
h2: (7, 104)
m2: (91, 188)
n3: (90, 187)
a3: (9, 106)
b3: (89, 186)
c3: (10, 107)
d3: (11, 108)
e3: (87, 184)
f3: (86, 183)
g3: (13, 110)
h3: (85, 182)
m3: (14, 111)
n4: (15, 112)
a4: (83, 180)
b4: (82, 179)
c4: (17, 114)
d4: (81, 178)
e4: (18, 115)
f4: (19, 116)
g4: (79, 176)
h4: (67, 164)
m4: (66, 163)
n5: (33, 130)
a5: (65, 162)
b5: (34, 131)
c5: (35, 132)
d5: (63, 160)
e5: (62, 159)
f5: (37, 134)
g5: (61, 158)
h5: (38, 135)
m5: (39, 136)
n6: (59, 156)
a6: (58, 155)
b6: (41, 138)
c6: (57, 154)
d6: (42, 139)
e6: (43, 140)
f6: (55, 152)
g6: (54, 151)
h6: (45, 142)
m6: (53, 150)
n7: (46, 143)
a7: (47, 144)
b7: (51, 148)
c7: (50, 147)
d7: (49, 146)
e7: (97, 194)
f7: (2, 99)
g7: (20, 117)
h7: (76, 173)
m7: (92, 189)
n8: (8, 105)
a8: (56, 153)
b8: (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, 91, 92, 93, 94, 95, 96, 97)(98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194)
c8: (44, 141)
d8: (88, 185)
e8: (2, 97)(3, 96)(4, 95)(5, 94)(6, 93)(7, 92)(8, 91)(9, 90)(10, 89)(11, 88)(12, 87)(13, 86)(14, 85)(15, 84)(16, 83)(17, 82)(18, 81)(19, 80)(20, 79)(21, 78)(22, 77)(23, 76)(24, 75)(25, 74)(26, 73)(27, 72)(28, 71)(29, 70)(30, 69)(31, 68)(32, 67)(33, 66)(34, 65)(35, 64)(36, 63)(37, 62)(38, 61)(39, 60)(40, 59)(41, 58)(42, 57)(43, 56)(44, 55)(45, 54)(46, 53)(47, 52)(48, 51)(49, 50)(99, 194)(100, 193)(101, 192)(102, 191)(103, 190)(104, 189)(105, 188)(106, 187)(107, 186)(108, 185)(109, 184)(110, 183)(111, 182)(112, 181)(113, 180)(114, 179)(115, 178)(116, 177)(117, 176)(118, 175)(119, 174)(120, 173)(121, 172)(122, 171)(123, 170)(124, 169)(125, 168)(126, 167)(127, 166)(128, 165)(129, 164)(130, 163)(131, 162)(132, 161)(133, 160)(134, 159)(135, 158)(136, 157)(137, 156)(138, 155)(139, 154)(140, 153)(141, 152)(142, 151)(143, 150)(144, 149)(145, 148)(146, 147)
f8: (36, 133)
g8: (72, 169)
h8: (32, 129)
m8: (64, 161)
n9: (12, 109)
a9: (96, 193)
b9: (80, 177)
c9: (24, 121)
d9: (52, 149)
e9: (84, 181)
f9: (16, 113)
g9: (60, 157)

(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[ 194, 1 ]
194
-1 99 2 194 97
-2 1 100 3 98
-3 99 2 101 4
-4 100 3 102 5
-5 101 4 103 6
-6 102 5 104 7
-7 103 6 105 8
-8 104 7 106 9
-9 105 8 107 10
-10 11 106 9 108
-11 12 107 10 109
-12 11 110 13 108
-13 12 111 14 109
-14 110 13 112 15
-15 111 14 113 16
-16 112 15 114 17
-17 113 16 115 18
-18 114 17 116 19
-19 115 18 117 20
-20 116 19 118 21
-21 22 117 20 119
-22 23 118 21 120
-23 22 121 24 119
-24 23 122 25 120
-25 121 24 123 26
-26 122 25 124 27
-27 123 26 125 28
-28 124 27 126 29
-29 125 28 127 30
-30 126 29 128 31
-31 127 30 129 32
-32 33 128 31 130
-33 34 129 32 131
-34 33 132 35 130
-35 34 133 36 131
-36 132 35 134 37
-37 133 36 135 38
-38 134 37 136 39
-39 135 38 137 40
-40 136 39 138 41
-41 137 40 139 42
-42 138 41 140 43
-43 44 139 42 141
-44 45 140 43 142
-45 44 143 46 141
-46 45 144 47 142
-47 143 46 145 48
-48 144 47 146 49
-49 145 48 147 50
-50 146 49 148 51
-51 147 50 149 52
-52 148 51 150 53
-53 149 52 151 54
-54 55 150 53 152
-55 56 151 54 153
-56 55 154 57 152
-57 56 155 58 153
-58 154 57 156 59
-59 155 58 157 60
-60 156 59 158 61
-61 157 60 159 62
-62 158 61 160 63
-63 159 62 161 64
-64 160 63 162 65
-65 66 161 64 163
-66 67 162 65 164
-67 66 165 68 163
-68 67 166 69 164
-69 165 68 167 70
-70 166 69 168 71
-71 167 70 169 72
-72 168 71 170 73
-73 169 72 171 74
-74 170 73 172 75
-75 171 74 173 76
-76 77 172 75 174
-77 78 173 76 175
-78 77 176 79 174
-79 78 177 80 175
-80 176 79 178 81
-81 177 80 179 82
-82 178 81 180 83
-83 179 82 181 84
-84 180 83 182 85
-85 181 84 183 86
-86 182 85 184 87
-87 88 183 86 185
-88 89 184 87 186
-89 88 187 90 185
-90 89 188 91 186
-91 187 90 189 92
-92 188 91 190 93
-93 189 92 191 94
-94 190 93 192 95
-95 191 94 193 96
-96 192 95 194 97
-97 1 193 96 98
-98 99 2 194 97
-99 1 100 3 98
-100 99 2 101 4
-101 100 3 102 5
-102 101 4 103 6
-103 102 5 104 7
-104 103 6 105 8
-105 104 7 106 9
-106 105 8 107 10
-107 11 106 9 108
-108 12 107 10 109
-109 11 110 13 108
-110 12 111 14 109
-111 110 13 112 15
-112 111 14 113 16
-113 112 15 114 17
-114 113 16 115 18
-115 114 17 116 19
-116 115 18 117 20
-117 116 19 118 21
-118 22 117 20 119
-119 23 118 21 120
-120 22 121 24 119
-121 23 122 25 120
-122 121 24 123 26
-123 122 25 124 27
-124 123 26 125 28
-125 124 27 126 29
-126 125 28 127 30
-127 126 29 128 31
-128 127 30 129 32
-129 33 128 31 130
-130 34 129 32 131
-131 33 132 35 130
-132 34 133 36 131
-133 132 35 134 37
-134 133 36 135 38
-135 134 37 136 39
-136 135 38 137 40
-137 136 39 138 41
-138 137 40 139 42
-139 138 41 140 43
-140 44 139 42 141
-141 45 140 43 142
-142 44 143 46 141
-143 45 144 47 142
-144 143 46 145 48
-145 144 47 146 49
-146 145 48 147 50
-147 146 49 148 51
-148 147 50 149 52
-149 148 51 150 53
-150 149 52 151 54
-151 55 150 53 152
-152 56 151 54 153
-153 55 154 57 152
-154 56 155 58 153
-155 154 57 156 59
-156 155 58 157 60
-157 156 59 158 61
-158 157 60 159 62
-159 158 61 160 63
-160 159 62 161 64
-161 160 63 162 65
-162 66 161 64 163
-163 67 162 65 164
-164 66 165 68 163
-165 67 166 69 164
-166 165 68 167 70
-167 166 69 168 71
-168 167 70 169 72
-169 168 71 170 73
-170 169 72 171 74
-171 170 73 172 75
-172 171 74 173 76
-173 77 172 75 174
-174 78 173 76 175
-175 77 176 79 174
-176 78 177 80 175
-177 176 79 178 81
-178 177 80 179 82
-179 178 81 180 83
-180 179 82 181 84
-181 180 83 182 85
-182 181 84 183 86
-183 182 85 184 87
-184 88 183 86 185
-185 89 184 87 186
-186 88 187 90 185
-187 89 188 91 186
-188 187 90 189 92
-189 188 91 190 93
-190 189 92 191 94
-191 190 93 192 95
-192 191 94 193 96
-193 192 95 194 97
-194 1 193 96 98
0

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