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

On this page are all graphs related to C4[ 64, 10 ].

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, 16 ] = PL(MSY( 8, 8, 3, 0))

     2-fold covered by C4[ 128, 29 ] = UG(ATD[128,5])

     2-fold covered by C4[ 128, 30 ] = UG(ATD[128,7])

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

     2-fold covered by C4[ 128, 39 ] = UG(ATD[128,63])

     2-fold covered by C4[ 128, 56 ] = SS[128, 19]

     3-fold covered by C4[ 192, 25 ] = PL(MSY( 4, 24, 11, 12))

     3-fold covered by C4[ 192, 27 ] = PL(MSY( 4, 24, 5, 12))

     3-fold covered by C4[ 192, 98 ] = UG(ATD[192,135])

     3-fold covered by C4[ 192, 99 ] = UG(ATD[192,138])

     3-fold covered by C4[ 192, 193 ] = SS[192, 80]

     4-fold covered by C4[ 256, 24 ] = PL(MSY( 16, 8, 3, 0))

     4-fold covered by C4[ 256, 26 ] = PL(MSZ ( 8, 16, 2, 7), [8^16, 16^8])

     4-fold covered by C4[ 256, 43 ] = UG(ATD[256,11])

     4-fold covered by C4[ 256, 44 ] = UG(ATD[256,13])

     4-fold covered by C4[ 256, 45 ] = UG(ATD[256,15])

     4-fold covered by C4[ 256, 46 ] = UG(ATD[256,17])

     4-fold covered by C4[ 256, 48 ] = UG(ATD[256,21])

     4-fold covered by C4[ 256, 49 ] = UG(ATD[256,23])

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

     4-fold covered by C4[ 256, 63 ] = UG(ATD[256,103])

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

     4-fold covered by C4[ 256, 77 ] = UG(ATD[256,143])

     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, 95 ] = UG(ATD[256,197])

     4-fold covered by C4[ 256, 97 ] = UG(ATD[256,203])

     5-fold covered by C4[ 320, 38 ] = PL(MSY( 4, 40, 11, 20))

     5-fold covered by C4[ 320, 40 ] = PL(MSY( 4, 40, 19, 20))

     5-fold covered by C4[ 320, 91 ] = UG(ATD[320,45])

     5-fold covered by C4[ 320, 92 ] = UG(ATD[320,47])

     5-fold covered by C4[ 320, 94 ] = UG(ATD[320,51])

     5-fold covered by C4[ 320, 118 ] = UG(ATD[320,152])

     5-fold covered by C4[ 320, 119 ] = UG(ATD[320,155])

     5-fold covered by C4[ 320, 120 ] = UG(ATD[320,158])

     6-fold covered by C4[ 384, 45 ] = PL(MSY( 8, 24, 11, 0))

     6-fold covered by C4[ 384, 47 ] = PL(MSY( 8, 24, 5, 0))

     6-fold covered by C4[ 384, 53 ] = PL(MSY( 24, 8, 3, 0))

     6-fold covered by C4[ 384, 55 ] = PL(MSZ ( 8, 24, 2, 7), [8^24, 24^8])

     6-fold covered by C4[ 384, 136 ] = UG(ATD[384,61])

     6-fold covered by C4[ 384, 137 ] = UG(ATD[384,63])

     6-fold covered by C4[ 384, 138 ] = UG(ATD[384,65])

     6-fold covered by C4[ 384, 139 ] = UG(ATD[384,67])

     6-fold covered by C4[ 384, 140 ] = UG(ATD[384,69])

     6-fold covered by C4[ 384, 141 ] = UG(ATD[384,71])

     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, 230 ] = UG(ATD[384,398])

     6-fold covered by C4[ 384, 231 ] = UG(ATD[384,401])

     6-fold covered by C4[ 384, 241 ] = UG(ATD[384,433])

     6-fold covered by C4[ 384, 330 ] = PL(ATD[8,1]#ATD[24,1])

     7-fold covered by C4[ 448, 25 ] = PL(MSY( 4, 56, 13, 28))

     7-fold covered by C4[ 448, 29 ] = PL(MSY( 4, 56, 27, 28))

     7-fold covered by C4[ 448, 72 ] = UG(ATD[448,86])

     7-fold covered by C4[ 448, 73 ] = UG(ATD[448,89])

     7-fold covered by C4[ 448, 74 ] = UG(ATD[448,92])

     8-fold covered by C4[ 512, 34 ] = PL(MSY( 32, 8, 3, 0))

     8-fold covered by C4[ 512, 38 ] = PL(MSZ ( 8, 32, 2, 15), [8^32, 32^8])

     8-fold covered by C4[ 512, 60 ] = UG(ATD[512,19])

     8-fold covered by C4[ 512, 61 ] = UG(ATD[512,21])

     8-fold covered by C4[ 512, 62 ] = UG(ATD[512,23])

     8-fold covered by C4[ 512, 63 ] = UG(ATD[512,25])

     8-fold covered by C4[ 512, 69 ] = UG(ATD[512,47])

     8-fold covered by C4[ 512, 70 ] = UG(ATD[512,49])

     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, 77 ] = UG(ATD[512,63])

     8-fold covered by C4[ 512, 78 ] = UG(ATD[512,65])

     8-fold covered by C4[ 512, 79 ] = UG(ATD[512,67])

     8-fold covered by C4[ 512, 80 ] = UG(ATD[512,69])

     8-fold covered by C4[ 512, 81 ] = UG(ATD[512,71])

     8-fold covered by C4[ 512, 82 ] = UG(ATD[512,73])

     8-fold covered by C4[ 512, 93 ] = UG(ATD[512,95])

     8-fold covered by C4[ 512, 94 ] = UG(ATD[512,97])

     8-fold covered by C4[ 512, 96 ] = UG(ATD[512,101])

     8-fold covered by C4[ 512, 97 ] = UG(ATD[512,103])

     8-fold covered by C4[ 512, 100 ] = UG(ATD[512,109])

     8-fold covered by C4[ 512, 101 ] = UG(ATD[512,111])

     8-fold covered by C4[ 512, 102 ] = UG(ATD[512,113])

     8-fold covered by C4[ 512, 103 ] = UG(ATD[512,115])

     8-fold covered by C4[ 512, 104 ] = UG(ATD[512,117])

     8-fold covered by C4[ 512, 105 ] = UG(ATD[512,119])

     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, 128 ] = UG(ATD[512,219])

     8-fold covered by C4[ 512, 130 ] = UG(ATD[512,225])

     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, 166 ] = UG(ATD[512,338])

     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, 184 ] = UG(ATD[512,392])

     8-fold covered by C4[ 512, 186 ] = UG(ATD[512,398])

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

     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, 254 ] = UG(ATD[512,577])

     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, 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])

BGCG dissections of this graph

     Base Graph: C4[ 8, 1 ] = K_4,4   connection graph:  [C_4]

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

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

      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, 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, 110 ] = PL(ATD[8,2]#ATD[32,4])    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, 136 ] = BGCG(PX( 8, 4); K1;{1, 4})    with connection graph  [K_2]

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

      C4[ 384, 364 ] = XI(Rmap(192,27){6,6|3}_8)    with connection graph  [C_3]

      C4[ 384, 380 ] = XI(Rmap(192,458){8,6|4}_12)    with connection graph  [C_3]

      C4[ 384, 381 ] = XI(Rmap(192,459){8,6|4}_12)    with connection graph  [C_3]

      C4[ 384, 464 ] = BGCG(UG(ATD[192,11]); K1;{1, 3})    with connection graph  [C_3]

      C4[ 384, 465 ] = BGCG(UG(ATD[192,11]); K1;{2, 5})    with connection graph  [C_3]

      C4[ 384, 466 ] = BGCG(UG(ATD[192,11]); K1;{7, 9})    with connection graph  [C_3]

      C4[ 384, 536 ] = BGCG(UG(ATD[192,207]); K1;1)    with connection graph  [C_3]

      C4[ 384, 537 ] = BGCG(UG(ATD[192,208]); K1;4)    with connection graph  [C_3]

      C4[ 384, 538 ] = BGCG(UG(ATD[192,209]); K1;4)    with connection graph  [C_3]

      C4[ 384, 539 ] = BGCG(UG(ATD[192,209]); K1;5)    with connection graph  [C_3]

      C4[ 384, 540 ] = BGCG(UG(ATD[192,210]); K1;2)    with connection graph  [C_3]

      C4[ 384, 541 ] = BGCG(UG(ATD[192,210]); K1;3)    with connection graph  [C_3]

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

      C4[ 512, 212 ] = UG(ATD[512,462])    with connection graph  [C_4]

      C4[ 512, 281 ] = UG(ATD[512,656])    with connection graph  [C_4]

      C4[ 512, 289 ] = UG(ATD[512,680])    with connection graph  [C_4]

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

      C4[ 512, 357 ] = PL(ATD[16,4]#ATD[32,4])    with connection graph  [C_4]

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

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

      C4[ 512, 453 ] = BGCG(UG(ATD[256,128]); K1;{18, 25})    with connection graph  [C_4]

      C4[ 512, 456 ] = BGCG(UG(ATD[256,137]); K1;{29, 31, 33, 35})    with connection graph  [C_4]

      C4[ 512, 472 ] = BGCG(UG(ATD[256,167]); K1;{42, 48})    with connection graph  [C_4]

      C4[ 512, 487 ] = BGCG(UG(ATD[256,182]); K1;3)    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, 536 ] = SS[512, 69]    with connection graph  [C_4]

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

      C4[ 512, 553 ] = SS[512, 88]    with connection graph  [C_4]

      C4[ 512, 557 ] = SS[512, 92]    with connection graph  [C_4]

      C4[ 512, 589 ] = SS[512, 125]    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]

      C4[ 512, 599 ] = SS[512, 136]    with connection graph  [C_4]

      C4[ 512, 600 ] = SS[512, 137]    with connection graph  [C_4]

      C4[ 512, 601 ] = SS[512, 138]    with connection graph  [C_4]

      C4[ 512, 602 ] = SS[512, 139]    with connection graph  [C_4]

      C4[ 512, 603 ] = SS[512, 140]    with connection graph  [C_4]

      C4[ 512, 604 ] = SS[512, 141]    with connection graph  [C_4]

      C4[ 512, 605 ] = SS[512, 142]    with connection graph  [C_4]

      C4[ 512, 606 ] = SS[512, 143]    with connection graph  [C_4]

      C4[ 512, 663 ] = SS[512, 217]    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[ 64, 10 ] = PL(MSY( 4, 8, 3, 4))