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On this page are all graphs related to C4[ 64, 3 ].

Graphs which this one covers

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

     4-fold cover of C4[ 16, 1 ] = W( 8, 2)

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

     2-fold cover of C4[ 32, 1 ] = W( 16, 2)

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

     2-fold cover of C4[ 32, 3 ] = {4, 4}_< 6, 2>

Graphs which cover this one

     2-fold covered by C4[ 128, 3 ] = {4, 4}_< 12, 4>

     2-fold covered by C4[ 128, 4 ] = {4, 4}_[ 16, 4]

     2-fold covered by C4[ 128, 6 ] = PS( 16, 16; 3)

     2-fold covered by C4[ 128, 7 ] = MPS( 16, 16; 3)

     2-fold covered by C4[ 128, 9 ] = PS( 8, 32; 7)

     2-fold covered by C4[ 128, 14 ] = PL(MSY( 4, 16, 7, 0))

     2-fold covered by C4[ 128, 15 ] = PL(MSY( 4, 16, 7, 8))

     2-fold covered by C4[ 128, 16 ] = PL(MSY( 8, 8, 3, 0))

     3-fold covered by C4[ 192, 4 ] = {4, 4}_[ 12, 8]

     3-fold covered by C4[ 192, 8 ] = {4, 4}_[ 24, 4]

     3-fold covered by C4[ 192, 12 ] = PS( 16, 24; 5)

     3-fold covered by C4[ 192, 28 ] = PL(MSY( 4, 24, 17, 0))

     3-fold covered by C4[ 192, 32 ] = PL(MSY( 8, 12, 5, 0))

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

     4-fold covered by C4[ 256, 4 ] = {4, 4}_< 20, 12>

     4-fold covered by C4[ 256, 5 ] = {4, 4}_[ 32, 4]

     4-fold covered by C4[ 256, 7 ] = PS( 32, 16; 3)

     4-fold covered by C4[ 256, 8 ] = MPS( 32, 16; 3)

     4-fold covered by C4[ 256, 9 ] = PS( 16, 32; 3)

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

     4-fold covered by C4[ 256, 11 ] = MPS( 16, 32; 3)

     4-fold covered by C4[ 256, 13 ] = PS( 8, 64; 7)

     4-fold covered by C4[ 256, 14 ] = PS( 8, 64; 15)

     4-fold covered by C4[ 256, 15 ] = MPS( 8, 64; 7)

     4-fold covered by C4[ 256, 20 ] = PL(MSY( 4, 32, 15, 0))

     4-fold covered by C4[ 256, 21 ] = PL(MSY( 4, 32, 15, 16))

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

     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, 27 ] = MSZ ( 16, 16, 3, 7)

     4-fold covered by C4[ 256, 52 ] = UG(ATD[256,64])

     4-fold covered by C4[ 256, 56 ] = UG(ATD[256,82])

     4-fold covered by C4[ 256, 57 ] = UG(ATD[256,85])

     4-fold covered by C4[ 256, 104 ] = PL(ATD[8,1]#ATD[16,2])

     5-fold covered by C4[ 320, 7 ] = {4, 4}_[ 20, 8]

     5-fold covered by C4[ 320, 9 ] = {4, 4}_[ 40, 4]

     5-fold covered by C4[ 320, 18 ] = PS( 16, 40; 3)

     5-fold covered by C4[ 320, 19 ] = PS( 16, 40; 9)

     5-fold covered by C4[ 320, 22 ] = PS( 8, 80; 7)

     5-fold covered by C4[ 320, 41 ] = PL(MSY( 4, 40, 9, 0))

     5-fold covered by C4[ 320, 43 ] = PL(MSY( 8, 20, 11, 0))

     5-fold covered by C4[ 320, 83 ] = UG(ATD[320,23])

     6-fold covered by C4[ 384, 4 ] = {4, 4}_[ 16, 12]

     6-fold covered by C4[ 384, 5 ] = {4, 4}_< 20, 4>

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

     6-fold covered by C4[ 384, 8 ] = {4, 4}_< 28, 20>

     6-fold covered by C4[ 384, 10 ] = {4, 4}_[ 48, 4]

     6-fold covered by C4[ 384, 12 ] = PS( 48, 16; 3)

     6-fold covered by C4[ 384, 13 ] = MPS( 48, 16; 3)

     6-fold covered by C4[ 384, 14 ] = PS( 32, 24; 5)

     6-fold covered by C4[ 384, 17 ] = PS( 24, 32; 7)

     6-fold covered by C4[ 384, 19 ] = MPS( 24, 32; 7)

     6-fold covered by C4[ 384, 20 ] = PS( 16, 48; 5)

     6-fold covered by C4[ 384, 22 ] = PS( 16, 48; 11)

     6-fold covered by C4[ 384, 23 ] = MPS( 16, 48; 5)

     6-fold covered by C4[ 384, 24 ] = MPS( 16, 48; 7)

     6-fold covered by C4[ 384, 27 ] = PS( 8, 96; 7)

     6-fold covered by C4[ 384, 29 ] = PS( 8, 96; 23)

     6-fold covered by C4[ 384, 37 ] = PL(MSY( 4, 48, 23, 0))

     6-fold covered by C4[ 384, 38 ] = PL(MSY( 4, 48, 23, 24))

     6-fold covered by C4[ 384, 39 ] = PL(MSY( 4, 48, 17, 0))

     6-fold covered by C4[ 384, 40 ] = PL(MSY( 4, 48, 17, 24))

     6-fold covered by C4[ 384, 41 ] = PL(MSY( 4, 48, 7, 0))

     6-fold covered by C4[ 384, 42 ] = PL(MSY( 4, 48, 7, 24))

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

     6-fold covered by C4[ 384, 46 ] = PL(MSY( 8, 24, 11, 12))

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

     6-fold covered by C4[ 384, 48 ] = PL(MSY( 8, 24, 5, 12))

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

     6-fold covered by C4[ 384, 50 ] = PL(MSY( 8, 24, 17, 12))

     6-fold covered by C4[ 384, 51 ] = PL(MSY( 12, 16, 7, 0))

     6-fold covered by C4[ 384, 52 ] = PL(MSY( 16, 12, 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, 73 ] = PL(KE_48(3,11,6,43,3),[12^16,16^12])

     6-fold covered by C4[ 384, 79 ] = PL(Curtain_48(1,7,24,41,47),[8^24,16^12])

     6-fold covered by C4[ 384, 87 ] = PL(Curtain_48(1,18,2,25,32),[8^24,16^12])

     6-fold covered by C4[ 384, 205 ] = UG(ATD[384,285])

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

     6-fold covered by C4[ 384, 334 ] = PL(ATD[8,1]#ATD[24,12])

     7-fold covered by C4[ 448, 6 ] = {4, 4}_[ 28, 8]

     7-fold covered by C4[ 448, 8 ] = {4, 4}_[ 56, 4]

     7-fold covered by C4[ 448, 14 ] = PS( 16, 56; 13)

     7-fold covered by C4[ 448, 26 ] = PL(MSY( 4, 56, 15, 0))

     7-fold covered by C4[ 448, 30 ] = PL(MSY( 8, 28, 13, 0))

     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, 5 ] = {4, 4}_< 36, 28>

     8-fold covered by C4[ 512, 6 ] = {4, 4}_[ 64, 4]

     8-fold covered by C4[ 512, 8 ] = PS( 64, 16; 3)

     8-fold covered by C4[ 512, 9 ] = MPS( 64, 16; 3)

     8-fold covered by C4[ 512, 10 ] = PS( 32, 32; 3)

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

     8-fold covered by C4[ 512, 12 ] = MPS( 32, 32; 3)

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

     8-fold covered by C4[ 512, 14 ] = PS( 16, 64; 3)

     8-fold covered by C4[ 512, 15 ] = PS( 16, 64; 5)

     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, 18 ] = MPS( 16, 64; 3)

     8-fold covered by C4[ 512, 19 ] = MPS( 16, 64; 5)

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

     8-fold covered by C4[ 512, 21 ] = PS( 8,128; 15)

     8-fold covered by C4[ 512, 22 ] = PS( 8,128; 31)

     8-fold covered by C4[ 512, 23 ] = MPS( 8,128; 15)

     8-fold covered by C4[ 512, 29 ] = PL(MSY( 4, 64, 33, 0))

     8-fold covered by C4[ 512, 30 ] = PL(MSY( 4, 64, 33, 32))

     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, 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, 39 ] = MSZ ( 16, 32, 3, 7)

     8-fold covered by C4[ 512, 40 ] = MSZ ( 16, 32, 3, 15)

     8-fold covered by C4[ 512, 41 ] = MSZ ( 32, 16, 7, 3)

     8-fold covered by C4[ 512, 95 ] = UG(ATD[512,99])

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

     8-fold covered by C4[ 512, 119 ] = UG(ATD[512,186])

     8-fold covered by C4[ 512, 123 ] = UG(ATD[512,204])

     8-fold covered by C4[ 512, 124 ] = UG(ATD[512,207])

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

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

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

     8-fold covered by C4[ 512, 142 ] = UG(ATD[512,266])

     8-fold covered by C4[ 512, 143 ] = UG(ATD[512,269])

     8-fold covered by C4[ 512, 144 ] = UG(ATD[512,272])

     8-fold covered by C4[ 512, 145 ] = UG(ATD[512,275])

     8-fold covered by C4[ 512, 151 ] = UG(ATD[512,293])

     8-fold covered by C4[ 512, 153 ] = UG(ATD[512,299])

     8-fold covered by C4[ 512, 154 ] = UG(ATD[512,302])

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

     8-fold covered by C4[ 512, 156 ] = UG(ATD[512,308])

     8-fold covered by C4[ 512, 157 ] = UG(ATD[512,311])

     8-fold covered by C4[ 512, 158 ] = UG(ATD[512,314])

     8-fold covered by C4[ 512, 161 ] = UG(ATD[512,323])

     8-fold covered by C4[ 512, 162 ] = UG(ATD[512,326])

     8-fold covered by C4[ 512, 163 ] = UG(ATD[512,329])

     8-fold covered by C4[ 512, 164 ] = UG(ATD[512,332])

     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, 308 ] = PL(ATD[8,1]#ATD[32,3])

     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, 314 ] = PL(ATD[8,1]#ATD[32,11])

     8-fold covered by C4[ 512, 345 ] = PL(ATD[16,2]#ATD[16,3])

     8-fold covered by C4[ 512, 346 ] = PL(ATD[16,2]#ATD[32,1])

     8-fold covered by C4[ 512, 347 ] = PL(ATD[16,2]#ATD[32,2])

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

     8-fold covered by C4[ 512, 351 ] = PL(ATD[16,2]#ATD[32,9])

BGCG dissections of this graph

     Base Graph: C4[ 16, 1 ] = W( 8, 2)   connection graph:  [K_2]

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

      C4[ 256, 3 ] = {4, 4}_[ 16, 8]    with connection graph  [K_2]

      C4[ 256, 7 ] = PS( 32, 16; 3)    with connection graph  [K_2]

      C4[ 256, 10 ] = PS( 16, 32; 7)    with connection graph  [K_2]

      C4[ 256, 22 ] = PL(MSY( 8, 16, 7, 0))    with connection graph  [K_2]

      C4[ 256, 24 ] = PL(MSY( 16, 8, 3, 0))    with connection graph  [K_2]

      C4[ 256, 26 ] = PL(MSZ ( 8, 16, 2, 7), [8^16, 16^8])    with connection graph  [K_2]

      C4[ 256, 27 ] = MSZ ( 16, 16, 3, 7)    with connection graph  [K_2]

      C4[ 256, 105 ] = PL(ATD[8,1]#ATD[16,5])    with connection graph  [K_2]

      C4[ 256, 106 ] = PL(ATD[8,2]#ATD[16,3])    with connection graph  [K_2]

      C4[ 256, 107 ] = PL(ATD[8,2]#ATD[32,1])    with connection graph  [K_2]

      C4[ 256, 108 ] = PL(ATD[8,2]#ATD[32,2])    with connection graph  [K_2]

      C4[ 256, 109 ] = PL(ATD[8,2]#ATD[32,3])    with connection graph  [K_2]

      C4[ 256, 123 ] = PL(CS({4, 4}_ 4, 4[ 8^ 8], 1))    with connection graph  [K_2]

      C4[ 512, 51 ] = CPM( 8, 2, 16, 1)    with connection graph  [C_4]

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

      C4[ 512, 118 ] = UG(ATD[512,174])    with connection graph  [C_4]

      C4[ 512, 123 ] = UG(ATD[512,204])    with connection graph  [C_4]

      C4[ 512, 125 ] = UG(ATD[512,210])    with connection graph  [C_4]

      C4[ 512, 128 ] = UG(ATD[512,219])    with connection graph  [C_4]

      C4[ 512, 130 ] = UG(ATD[512,225])    with connection graph  [C_4]

      C4[ 512, 133 ] = UG(ATD[512,239])    with connection graph  [C_4]

      C4[ 512, 136 ] = UG(ATD[512,248])    with connection graph  [C_4]

      C4[ 512, 139 ] = UG(ATD[512,257])    with connection graph  [C_4]

      C4[ 512, 141 ] = UG(ATD[512,263])    with connection graph  [C_4]

      C4[ 512, 143 ] = UG(ATD[512,269])    with connection graph  [C_4]

      C4[ 512, 144 ] = UG(ATD[512,272])    with connection graph  [C_4]

      C4[ 512, 145 ] = UG(ATD[512,275])    with connection graph  [C_4]

      C4[ 512, 147 ] = UG(ATD[512,281])    with connection graph  [C_4]

      C4[ 512, 149 ] = UG(ATD[512,287])    with connection graph  [C_4]

      C4[ 512, 151 ] = UG(ATD[512,293])    with connection graph  [C_4]

      C4[ 512, 152 ] = UG(ATD[512,296])    with connection graph  [C_4]

      C4[ 512, 165 ] = UG(ATD[512,335])    with connection graph  [C_4]

      C4[ 512, 166 ] = UG(ATD[512,338])    with connection graph  [C_4]

      C4[ 512, 171 ] = UG(ATD[512,353])    with connection graph  [C_4]

      C4[ 512, 173 ] = UG(ATD[512,359])    with connection graph  [C_4]

      C4[ 512, 208 ] = UG(ATD[512,450])    with connection graph  [C_4]

      C4[ 512, 209 ] = UG(ATD[512,453])    with connection graph  [C_4]

      C4[ 512, 210 ] = UG(ATD[512,456])    with connection graph  [C_4]

      C4[ 512, 211 ] = UG(ATD[512,459])    with connection graph  [C_4]

      C4[ 512, 254 ] = UG(ATD[512,577])    with connection graph  [C_4]

      C4[ 512, 306 ] = PL(ATD[8,1]#ATD[32,1])    with connection graph  [C_4]

      C4[ 512, 307 ] = PL(ATD[8,1]#ATD[32,2])    with connection graph  [C_4]

      C4[ 512, 308 ] = PL(ATD[8,1]#ATD[32,3])    with connection graph  [C_4]

      C4[ 512, 310 ] = PL(ATD[8,1]#ATD[32,6])    with connection graph  [C_4]

      C4[ 512, 313 ] = PL(ATD[8,1]#ATD[32,9])    with connection graph  [C_4]

      C4[ 512, 315 ] = PL(ATD[8,1]#ATD[32,12])    with connection graph  [C_4]

      C4[ 512, 318 ] = PL(ATD[8,2]#ATD[64,1])    with connection graph  [C_4]

      C4[ 512, 319 ] = PL(ATD[8,2]#ATD[64,3])    with connection graph  [C_4]

      C4[ 512, 345 ] = PL(ATD[16,2]#ATD[16,3])    with connection graph  [C_4]

      C4[ 512, 346 ] = PL(ATD[16,2]#ATD[32,1])    with connection graph  [C_4]

      C4[ 512, 347 ] = PL(ATD[16,2]#ATD[32,2])    with connection graph  [C_4]

      C4[ 512, 351 ] = PL(ATD[16,2]#ATD[32,9])    with connection graph  [C_4]

      C4[ 512, 353 ] = PL(ATD[16,3]#ATD[16,4])    with connection graph  [C_4]

      C4[ 512, 354 ] = PL(ATD[16,4]#ATD[32,1])    with connection graph  [C_4]

      C4[ 512, 356 ] = PL(ATD[16,4]#ATD[32,3])    with connection graph  [C_4]

      C4[ 512, 441 ] = BGCG(UG(ATD[256,97]); K1;{7, 14})    with connection graph  [C_4]

      C4[ 512, 476 ] = BGCG(UG(ATD[256,170]); K1;{3, 12})    with connection graph  [C_4]

      C4[ 512, 506 ] = SS[512, 7]    with connection graph  [C_4]

Aut-Orbital graphs of this one:

      C4[ 8, 1 ] = K_4,4

      C4[ 16, 1 ] = W( 8, 2)

      C4[ 64, 3 ] = {4, 4}_[ 8, 4]