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

On this page are all graphs related to C4[ 64, 2 ].

Graphs which this one covers

     8-fold cover of C4[ 8, 1 ] = K_4,4

     4-fold cover of C4[ 16, 2 ] = {4, 4}_ 4, 0

     2-fold cover of C4[ 32, 2 ] = {4, 4}_ 4, 4

Graphs which cover this one

     2-fold covered by C4[ 128, 2 ] = {4, 4}_ 8, 8

     2-fold covered by C4[ 128, 17 ] = MSY( 8, 16, 9, 8)

     2-fold covered by C4[ 128, 25 ] = CPM( 8, 2, 4, 1)

     2-fold covered by C4[ 128, 37 ] = UG(ATD[128,57])

     2-fold covered by C4[ 128, 41 ] = UG(ATD[128,69])

     3-fold covered by C4[ 192, 7 ] = {4, 4}_< 16, 8>

     3-fold covered by C4[ 192, 18 ] = MPS( 8, 48; 7)

     3-fold covered by C4[ 192, 29 ] = PL(MSY( 4, 24, 17, 12))

     3-fold covered by C4[ 192, 97 ] = UG(ATD[192,132])

     4-fold covered by C4[ 256, 2 ] = {4, 4}_ 16, 0

     4-fold covered by C4[ 256, 3 ] = {4, 4}_[ 16, 8]

     4-fold covered by C4[ 256, 10 ] = PS( 16, 32; 7)

     4-fold covered by C4[ 256, 12 ] = MPS( 16, 32; 7)

     4-fold covered by C4[ 256, 22 ] = PL(MSY( 8, 16, 7, 0))

     4-fold covered by C4[ 256, 23 ] = PL(MSY( 8, 16, 7, 8))

     4-fold covered by C4[ 256, 25 ] = MSY( 8, 32, 9, 8)

     4-fold covered by C4[ 256, 38 ] = CPM( 8, 2, 8, 1)

     4-fold covered by C4[ 256, 51 ] = UG(ATD[256,55])

     4-fold covered by C4[ 256, 61 ] = UG(ATD[256,97])

     4-fold covered by C4[ 256, 66 ] = UG(ATD[256,111])

     4-fold covered by C4[ 256, 67 ] = UG(ATD[256,114])

     4-fold covered by C4[ 256, 68 ] = UG(ATD[256,117])

     4-fold covered by C4[ 256, 69 ] = UG(ATD[256,120])

     4-fold covered by C4[ 256, 76 ] = UG(ATD[256,140])

     4-fold covered by C4[ 256, 81 ] = UG(ATD[256,155])

     4-fold covered by C4[ 256, 82 ] = UG(ATD[256,158])

     4-fold covered by C4[ 256, 83 ] = UG(ATD[256,161])

     4-fold covered by C4[ 256, 84 ] = UG(ATD[256,164])

     4-fold covered by C4[ 256, 86 ] = UG(ATD[256,170])

     4-fold covered by C4[ 256, 87 ] = UG(ATD[256,173])

     4-fold covered by C4[ 256, 88 ] = UG(ATD[256,176])

     4-fold covered by C4[ 256, 89 ] = UG(ATD[256,179])

     4-fold covered by C4[ 256, 90 ] = UG(ATD[256,182])

     4-fold covered by C4[ 256, 91 ] = UG(ATD[256,185])

     4-fold covered by C4[ 256, 92 ] = UG(ATD[256,188])

     4-fold covered by C4[ 256, 103 ] = UG(ATD[256,213])

     5-fold covered by C4[ 320, 4 ] = {4, 4}_ 16, 8

     5-fold covered by C4[ 320, 8 ] = {4, 4}_< 24, 16>

     5-fold covered by C4[ 320, 26 ] = MPS( 8, 80; 7)

     5-fold covered by C4[ 320, 27 ] = MPS( 8, 80; 9)

     5-fold covered by C4[ 320, 42 ] = PL(MSY( 4, 40, 9, 20))

     5-fold covered by C4[ 320, 90 ] = UG(ATD[320,43])

     5-fold covered by C4[ 320, 114 ] = UG(ATD[320,145])

     5-fold covered by C4[ 320, 117 ] = UG(ATD[320,149])

     5-fold covered by C4[ 320, 187 ] = BGCG(KE_40(1,25,18,13,19); K1;{1, 3})

     6-fold covered by C4[ 384, 7 ] = {4, 4}_[ 24, 8]

     6-fold covered by C4[ 384, 21 ] = PS( 16, 48; 7)

     6-fold covered by C4[ 384, 49 ] = PL(MSY( 8, 24, 17, 0))

     6-fold covered by C4[ 384, 54 ] = MSY( 8, 48, 25, 8)

     6-fold covered by C4[ 384, 56 ] = PL(MSZ ( 8, 24, 2, 11), [8^24, 24^8])

     6-fold covered by C4[ 384, 58 ] = MSZ ( 48, 8, 5, 3)

     6-fold covered by C4[ 384, 99 ] = CPM( 8, 2, 12, 1)

     6-fold covered by C4[ 384, 212 ] = UG(ATD[384,333])

     6-fold covered by C4[ 384, 223 ] = UG(ATD[384,375])

     6-fold covered by C4[ 384, 224 ] = UG(ATD[384,378])

     6-fold covered by C4[ 384, 225 ] = UG(ATD[384,381])

     6-fold covered by C4[ 384, 239 ] = UG(ATD[384,427])

     6-fold covered by C4[ 384, 243 ] = UG(ATD[384,439])

     6-fold covered by C4[ 384, 244 ] = UG(ATD[384,442])

     6-fold covered by C4[ 384, 245 ] = UG(ATD[384,445])

     6-fold covered by C4[ 384, 246 ] = UG(ATD[384,448])

     6-fold covered by C4[ 384, 247 ] = UG(ATD[384,451])

     6-fold covered by C4[ 384, 333 ] = PL(ATD[8,1]#ATD[24,6])

     7-fold covered by C4[ 448, 7 ] = {4, 4}_< 32, 24>

     7-fold covered by C4[ 448, 18 ] = MPS( 8,112; 15)

     7-fold covered by C4[ 448, 27 ] = PL(MSY( 4, 56, 15, 28))

     7-fold covered by C4[ 448, 71 ] = UG(ATD[448,83])

     8-fold covered by C4[ 512, 2 ] = {4, 4}_ 16, 16

     8-fold covered by C4[ 512, 3 ] = {4, 4}_< 24, 8>

     8-fold covered by C4[ 512, 4 ] = {4, 4}_[ 32, 8]

     8-fold covered by C4[ 512, 11 ] = PS( 32, 32; 7)

     8-fold covered by C4[ 512, 13 ] = MPS( 32, 32; 7)

     8-fold covered by C4[ 512, 16 ] = PS( 16, 64; 7)

     8-fold covered by C4[ 512, 17 ] = PS( 16, 64; 15)

     8-fold covered by C4[ 512, 20 ] = MPS( 16, 64; 7)

     8-fold covered by C4[ 512, 31 ] = PL(MSY( 8, 32, 15, 0))

     8-fold covered by C4[ 512, 32 ] = PL(MSY( 8, 32, 15, 16))

     8-fold covered by C4[ 512, 33 ] = PL(MSY( 16, 16, 7, 0))

     8-fold covered by C4[ 512, 35 ] = MSY( 16, 32, 17, 16)

     8-fold covered by C4[ 512, 36 ] = MSY( 8, 64, 9, 8)

     8-fold covered by C4[ 512, 37 ] = MSY( 8, 64, 25, 8)

     8-fold covered by C4[ 512, 51 ] = CPM( 8, 2, 16, 1)

     8-fold covered by C4[ 512, 52 ] = CPM( 16, 2, 4, 1)

     8-fold covered by C4[ 512, 64 ] = UG(ATD[512,33])

     8-fold covered by C4[ 512, 65 ] = UG(ATD[512,35])

     8-fold covered by C4[ 512, 71 ] = UG(ATD[512,51])

     8-fold covered by C4[ 512, 72 ] = UG(ATD[512,53])

     8-fold covered by C4[ 512, 73 ] = UG(ATD[512,55])

     8-fold covered by C4[ 512, 74 ] = UG(ATD[512,57])

     8-fold covered by C4[ 512, 110 ] = UG(ATD[512,129])

     8-fold covered by C4[ 512, 111 ] = UG(ATD[512,131])

     8-fold covered by C4[ 512, 112 ] = UG(ATD[512,133])

     8-fold covered by C4[ 512, 113 ] = UG(ATD[512,135])

     8-fold covered by C4[ 512, 114 ] = UG(ATD[512,137])

     8-fold covered by C4[ 512, 115 ] = UG(ATD[512,139])

     8-fold covered by C4[ 512, 118 ] = UG(ATD[512,174])

     8-fold covered by C4[ 512, 128 ] = UG(ATD[512,219])

     8-fold covered by C4[ 512, 133 ] = UG(ATD[512,239])

     8-fold covered by C4[ 512, 134 ] = UG(ATD[512,242])

     8-fold covered by C4[ 512, 135 ] = UG(ATD[512,245])

     8-fold covered by C4[ 512, 136 ] = UG(ATD[512,248])

     8-fold covered by C4[ 512, 137 ] = UG(ATD[512,251])

     8-fold covered by C4[ 512, 138 ] = UG(ATD[512,254])

     8-fold covered by C4[ 512, 139 ] = UG(ATD[512,257])

     8-fold covered by C4[ 512, 140 ] = UG(ATD[512,260])

     8-fold covered by C4[ 512, 141 ] = UG(ATD[512,263])

     8-fold covered by C4[ 512, 146 ] = UG(ATD[512,278])

     8-fold covered by C4[ 512, 147 ] = UG(ATD[512,281])

     8-fold covered by C4[ 512, 148 ] = UG(ATD[512,284])

     8-fold covered by C4[ 512, 149 ] = UG(ATD[512,287])

     8-fold covered by C4[ 512, 155 ] = UG(ATD[512,305])

     8-fold covered by C4[ 512, 165 ] = UG(ATD[512,335])

     8-fold covered by C4[ 512, 170 ] = UG(ATD[512,350])

     8-fold covered by C4[ 512, 171 ] = UG(ATD[512,353])

     8-fold covered by C4[ 512, 172 ] = UG(ATD[512,356])

     8-fold covered by C4[ 512, 173 ] = UG(ATD[512,359])

     8-fold covered by C4[ 512, 175 ] = UG(ATD[512,365])

     8-fold covered by C4[ 512, 176 ] = UG(ATD[512,368])

     8-fold covered by C4[ 512, 177 ] = UG(ATD[512,371])

     8-fold covered by C4[ 512, 178 ] = UG(ATD[512,374])

     8-fold covered by C4[ 512, 179 ] = UG(ATD[512,377])

     8-fold covered by C4[ 512, 180 ] = UG(ATD[512,380])

     8-fold covered by C4[ 512, 181 ] = UG(ATD[512,383])

     8-fold covered by C4[ 512, 196 ] = UG(ATD[512,414])

     8-fold covered by C4[ 512, 198 ] = UG(ATD[512,420])

     8-fold covered by C4[ 512, 199 ] = UG(ATD[512,423])

     8-fold covered by C4[ 512, 200 ] = UG(ATD[512,426])

     8-fold covered by C4[ 512, 201 ] = UG(ATD[512,429])

     8-fold covered by C4[ 512, 202 ] = UG(ATD[512,432])

     8-fold covered by C4[ 512, 203 ] = UG(ATD[512,435])

     8-fold covered by C4[ 512, 204 ] = UG(ATD[512,438])

     8-fold covered by C4[ 512, 205 ] = UG(ATD[512,441])

     8-fold covered by C4[ 512, 206 ] = UG(ATD[512,444])

     8-fold covered by C4[ 512, 207 ] = UG(ATD[512,447])

     8-fold covered by C4[ 512, 208 ] = UG(ATD[512,450])

     8-fold covered by C4[ 512, 209 ] = UG(ATD[512,453])

     8-fold covered by C4[ 512, 210 ] = UG(ATD[512,456])

     8-fold covered by C4[ 512, 211 ] = UG(ATD[512,459])

     8-fold covered by C4[ 512, 220 ] = UG(ATD[512,482])

     8-fold covered by C4[ 512, 223 ] = UG(ATD[512,491])

     8-fold covered by C4[ 512, 228 ] = UG(ATD[512,504])

     8-fold covered by C4[ 512, 229 ] = UG(ATD[512,507])

     8-fold covered by C4[ 512, 230 ] = UG(ATD[512,510])

     8-fold covered by C4[ 512, 232 ] = UG(ATD[512,516])

     8-fold covered by C4[ 512, 233 ] = UG(ATD[512,519])

     8-fold covered by C4[ 512, 234 ] = UG(ATD[512,522])

     8-fold covered by C4[ 512, 235 ] = UG(ATD[512,525])

     8-fold covered by C4[ 512, 245 ] = UG(ATD[512,554])

     8-fold covered by C4[ 512, 246 ] = UG(ATD[512,557])

     8-fold covered by C4[ 512, 248 ] = UG(ATD[512,563])

     8-fold covered by C4[ 512, 249 ] = UG(ATD[512,566])

     8-fold covered by C4[ 512, 250 ] = UG(ATD[512,569])

     8-fold covered by C4[ 512, 256 ] = UG(ATD[512,581])

     8-fold covered by C4[ 512, 257 ] = UG(ATD[512,584])

     8-fold covered by C4[ 512, 258 ] = UG(ATD[512,587])

     8-fold covered by C4[ 512, 259 ] = UG(ATD[512,590])

     8-fold covered by C4[ 512, 260 ] = UG(ATD[512,593])

     8-fold covered by C4[ 512, 261 ] = UG(ATD[512,596])

     8-fold covered by C4[ 512, 262 ] = UG(ATD[512,599])

     8-fold covered by C4[ 512, 263 ] = UG(ATD[512,602])

     8-fold covered by C4[ 512, 264 ] = UG(ATD[512,605])

     8-fold covered by C4[ 512, 265 ] = UG(ATD[512,608])

     8-fold covered by C4[ 512, 266 ] = UG(ATD[512,611])

     8-fold covered by C4[ 512, 267 ] = UG(ATD[512,614])

     8-fold covered by C4[ 512, 268 ] = UG(ATD[512,617])

     8-fold covered by C4[ 512, 269 ] = UG(ATD[512,620])

     8-fold covered by C4[ 512, 270 ] = UG(ATD[512,623])

     8-fold covered by C4[ 512, 271 ] = UG(ATD[512,626])

     8-fold covered by C4[ 512, 272 ] = UG(ATD[512,629])

     8-fold covered by C4[ 512, 273 ] = UG(ATD[512,632])

     8-fold covered by C4[ 512, 274 ] = UG(ATD[512,635])

     8-fold covered by C4[ 512, 275 ] = UG(ATD[512,638])

     8-fold covered by C4[ 512, 276 ] = UG(ATD[512,641])

     8-fold covered by C4[ 512, 277 ] = UG(ATD[512,644])

     8-fold covered by C4[ 512, 278 ] = UG(ATD[512,647])

     8-fold covered by C4[ 512, 279 ] = UG(ATD[512,650])

     8-fold covered by C4[ 512, 305 ] = UG(ATD[512,723])

     8-fold covered by C4[ 512, 306 ] = PL(ATD[8,1]#ATD[32,1])

     8-fold covered by C4[ 512, 307 ] = PL(ATD[8,1]#ATD[32,2])

     8-fold covered by C4[ 512, 310 ] = PL(ATD[8,1]#ATD[32,6])

     8-fold covered by C4[ 512, 311 ] = PL(ATD[8,1]#ATD[32,7])

     8-fold covered by C4[ 512, 313 ] = PL(ATD[8,1]#ATD[32,9])

     8-fold covered by C4[ 512, 349 ] = PL(ATD[16,2]#ATD[32,7])

     8-fold covered by C4[ 512, 428 ] = BGCG({4, 4}_ 16, 0; K1;{9, 13, 14, 17})

     8-fold covered by C4[ 512, 533 ] = SS[512, 66]

     8-fold covered by C4[ 512, 538 ] = SS[512, 71]

     8-fold covered by C4[ 512, 547 ] = SS[512, 80]

     8-fold covered by C4[ 512, 548 ] = SS[512, 81]

BGCG dissections of this graph

     Base Graph: C4[ 16, 2 ] = {4, 4}_ 4, 0   connection graph:  [K_2]

     Base Graph: C4[ 32, 2 ] = {4, 4}_ 4, 4   connection graph:  [K_1]

Graphs which have this one as the base graph in a BGCG dissection:

      C4[ 128, 2 ] = {4, 4}_ 8, 8    with connection graph  [K_1]

      C4[ 128, 17 ] = MSY( 8, 16, 9, 8)    with connection graph  [K_1]

      C4[ 128, 22 ] = PL(Curtain_16(1,8,1,6,14),[4^16,4^16])    with connection graph  [K_1]

      C4[ 128, 24 ] = PL(Curtain_16(1,8,6,9,14),[4^16,8^8])    with connection graph  [K_1]

      C4[ 128, 49 ] = BGCG({4, 4}_ 8, 0; K1;{2, 7, 10, 11})    with connection graph  [K_1]

      C4[ 128, 50 ] = BGCG({4, 4}_ 8, 0; K1;{12, 15})    with connection graph  [K_1]

      C4[ 128, 51 ] = BGCG({4, 4}_ 8, 0; K1;{17, 19})    with connection graph  [K_1]

      C4[ 256, 2 ] = {4, 4}_ 16, 0    with connection graph  [K_2]

      C4[ 256, 12 ] = MPS( 16, 32; 7)    with connection graph  [K_2]

      C4[ 256, 23 ] = PL(MSY( 8, 16, 7, 8))    with connection graph  [K_2]

      C4[ 256, 51 ] = UG(ATD[256,55])    with connection graph  [K_2]

      C4[ 256, 67 ] = UG(ATD[256,114])    with connection graph  [K_2]

      C4[ 256, 103 ] = UG(ATD[256,213])    with connection graph  [K_2]

      C4[ 256, 112 ] = PL(ATD[8,2]#ATD[32,8])    with connection graph  [K_2]

      C4[ 256, 126 ] = BGCG({4, 4}_ 8, 0; K2;{12, 15, 17, 19})    with connection graph  [K_2]

      C4[ 256, 134 ] = BGCG({4, 4}_ 8, 8; K1;{7, 8, 10, 12})    with connection graph  [K_2]

      C4[ 256, 135 ] = BGCG({4, 4}_ 8, 8; K1;{15, 16, 18, 20})    with connection graph  [K_2]

      C4[ 256, 137 ] = BGCG(PX( 8, 4); K1;{5, 14})    with connection graph  [K_2]

      C4[ 256, 140 ] = BGCG(UG(ATD[128,42]); K1;{8, 11})    with connection graph  [K_2]

      C4[ 256, 158 ] = SS[256, 18]    with connection graph  [K_2]

      C4[ 256, 163 ] = SS[256, 23]    with connection graph  [K_2]

      C4[ 384, 111 ] = PL(ProjLR(3,8))    with connection graph  [C_3]

      C4[ 384, 150 ] = UG(ATD[384,89])    with connection graph  [C_3]

      C4[ 384, 151 ] = UG(ATD[384,92])    with connection graph  [C_3]

      C4[ 384, 468 ] = BGCG(UG(ATD[192,14]); K1;{6, 9})    with connection graph  [C_3]

      C4[ 384, 549 ] = SS[384, 40]    with connection graph  [C_3]

      C4[ 384, 552 ] = SS[384, 43]    with connection graph  [C_3]

      C4[ 384, 553 ] = SS[384, 44]    with connection graph  [C_3]

      C4[ 512, 52 ] = CPM( 16, 2, 4, 1)    with connection graph  [C_4]

      C4[ 512, 56 ] = PL(SoP( 8, 16))    with connection graph  [C_4]

      C4[ 512, 58 ] = PL(ProjLR(4,4))    with connection graph  [C_4]

      C4[ 512, 134 ] = UG(ATD[512,242])    with connection graph  [C_4]

      C4[ 512, 135 ] = UG(ATD[512,245])    with connection graph  [C_4]

      C4[ 512, 137 ] = UG(ATD[512,251])    with connection graph  [C_4]

      C4[ 512, 140 ] = UG(ATD[512,260])    with connection graph  [C_4]

      C4[ 512, 197 ] = UG(ATD[512,417])    with connection graph  [C_4]

      C4[ 512, 202 ] = UG(ATD[512,432])    with connection graph  [C_4]

      C4[ 512, 204 ] = UG(ATD[512,438])    with connection graph  [C_4]

      C4[ 512, 205 ] = UG(ATD[512,441])    with connection graph  [C_4]

      C4[ 512, 206 ] = UG(ATD[512,444])    with connection graph  [C_4]

      C4[ 512, 207 ] = UG(ATD[512,447])    with connection graph  [C_4]

      C4[ 512, 256 ] = UG(ATD[512,581])    with connection graph  [C_4]

      C4[ 512, 257 ] = UG(ATD[512,584])    with connection graph  [C_4]

      C4[ 512, 258 ] = UG(ATD[512,587])    with connection graph  [C_4]

      C4[ 512, 259 ] = UG(ATD[512,590])    with connection graph  [C_4]

      C4[ 512, 298 ] = UG(ATD[512,710])    with connection graph  [C_4]

      C4[ 512, 324 ] = PL(ATD[8,2]#ATD[64,8])    with connection graph  [C_4]

      C4[ 512, 359 ] = PL(ATD[16,4]#ATD[32,8])    with connection graph  [C_4]

      C4[ 512, 362 ] = XI(Rmap(256,6){4,8|8}_8)    with connection graph  [C_4]

      C4[ 512, 400 ] = BGCG({4, 4}_ 8, 8; K2;{15, 16, 18, 20})    with connection graph  [C_4]

      C4[ 512, 449 ] = BGCG(UG(ATD[256,123]); K1;{19, 20})    with connection graph  [C_4]

      C4[ 512, 474 ] = BGCG(UG(ATD[256,167]); K1;{50, 60})    with connection graph  [C_4]

      C4[ 512, 490 ] = BGCG(UG(ATD[256,188]); K1;7)    with connection graph  [C_4]

      C4[ 512, 534 ] = SS[512, 67]    with connection graph  [C_4]

      C4[ 512, 540 ] = SS[512, 73]    with connection graph  [C_4]

      C4[ 512, 542 ] = SS[512, 75]    with connection graph  [C_4]

      C4[ 512, 544 ] = SS[512, 77]    with connection graph  [C_4]

      C4[ 512, 546 ] = SS[512, 79]    with connection graph  [C_4]

      C4[ 512, 547 ] = SS[512, 80]    with connection graph  [C_4]

      C4[ 512, 548 ] = SS[512, 81]    with connection graph  [C_4]

      C4[ 512, 552 ] = SS[512, 85]    with connection graph  [C_4]

      C4[ 512, 556 ] = SS[512, 91]    with connection graph  [C_4]

      C4[ 512, 558 ] = SS[512, 93]    with connection graph  [C_4]

      C4[ 512, 560 ] = SS[512, 95]    with connection graph  [C_4]

      C4[ 512, 561 ] = SS[512, 96]    with connection graph  [C_4]

      C4[ 512, 586 ] = SS[512, 121]    with connection graph  [C_4]

      C4[ 512, 591 ] = SS[512, 128]    with connection graph  [C_4]

      C4[ 512, 592 ] = SS[512, 129]    with connection graph  [C_4]

      C4[ 512, 597 ] = SS[512, 134]    with connection graph  [C_4]

      C4[ 512, 598 ] = SS[512, 135]    with connection graph  [C_4]

Aut-Orbital graphs of this one:

      C4[ 8, 1 ] = K_4,4

      C4[ 16, 2 ] = {4, 4}_ 4, 0

      C4[ 32, 2 ] = {4, 4}_ 4, 4

      C4[ 64, 2 ] = {4, 4}_ 8, 0