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On this page are all graphs related to C4[ 27, 3 ].

Graphs which this one covers

     3-fold cover of C4[ 9, 1 ] = DW( 3, 3)

Graphs which cover this one

     2-fold covered by C4[ 54, 5 ] = AMC( 6, 3, [ 0. 1: 2. 2])

     3-fold covered by C4[ 81, 6 ] = AMC( 9, 3, [ 0. 1: 2. 2])

     3-fold covered by C4[ 81, 7 ] = UG(ATD[81,12])

     3-fold covered by C4[ 81, 8 ] = UG(ATD[81,14])

     4-fold covered by C4[ 108, 11 ] = AMC( 12, 3, [ 0. 1: 2. 2])

     4-fold covered by C4[ 108, 13 ] = AMC( 3, 12, [ 1. 1: 9. 10])

     4-fold covered by C4[ 108, 20 ] = UG(ATD[108,27])

     5-fold covered by C4[ 135, 6 ] = AMC( 15, 3, [ 0. 1: 2. 2])

     5-fold covered by C4[ 135, 8 ] = UG(Cmap(270,3){12,4|15}_30)

     6-fold covered by C4[ 162, 8 ] = AMC( 18, 3, [ 0. 1: 2. 2])

     6-fold covered by C4[ 162, 14 ] = UG(ATD[162,14])

     6-fold covered by C4[ 162, 16 ] = UG(ATD[162,26])

     6-fold covered by C4[ 162, 17 ] = UG(ATD[162,29])

     7-fold covered by C4[ 189, 11 ] = AMC( 21, 3, [ 0. 1: 2. 2])

     7-fold covered by C4[ 189, 12 ] = UG(ATD[189,7])

     8-fold covered by C4[ 216, 28 ] = AMC( 24, 3, [ 0. 1: 2. 2])

     8-fold covered by C4[ 216, 56 ] = UG(ATD[216,71])

     8-fold covered by C4[ 216, 59 ] = UG(ATD[216,78])

     8-fold covered by C4[ 216, 61 ] = UG(ATD[216,84])

     8-fold covered by C4[ 216, 63 ] = UG(ATD[216,90])

     8-fold covered by C4[ 216, 64 ] = UG(ATD[216,117])

     8-fold covered by C4[ 216, 67 ] = UG(ATD[216,138])

     8-fold covered by C4[ 216, 68 ] = UG(ATD[216,140])

     9-fold covered by C4[ 243, 10 ] = AMC( 27, 3, [ 0. 1: 2. 2])

     9-fold covered by C4[ 243, 11 ] = AMC( 3, 9, [ 1. 5: 3. 1])

     9-fold covered by C4[ 243, 12 ] = AMC( 3, 9, [ 1. 8: 3. 7])

     9-fold covered by C4[ 243, 13 ] = UG(ATD[243,13])

     9-fold covered by C4[ 243, 14 ] = UG(ATD[243,15])

     9-fold covered by C4[ 243, 15 ] = UG(ATD[243,17])

     9-fold covered by C4[ 243, 16 ] = UG(ATD[243,19])

     9-fold covered by C4[ 243, 17 ] = UG(ATD[243,29])

     9-fold covered by C4[ 243, 18 ] = UG(ATD[243,30])

     9-fold covered by C4[ 243, 19 ] = UG(ATD[243,32])

     9-fold covered by C4[ 243, 20 ] = UG(ATD[243,34])

     9-fold covered by C4[ 243, 21 ] = UG(ATD[243,38])

     9-fold covered by C4[ 243, 22 ] = UG(ATD[243,40])

     9-fold covered by C4[ 243, 23 ] = UG(ATD[243,42])

     9-fold covered by C4[ 243, 24 ] = UG(ATD[243,43])

     9-fold covered by C4[ 243, 25 ] = UG(ATD[243,45])

     9-fold covered by C4[ 243, 26 ] = UG(ATD[243,47])

     9-fold covered by C4[ 243, 27 ] = UG(ATD[243,49])

     9-fold covered by C4[ 243, 28 ] = UG(ATD[243,52])

     9-fold covered by C4[ 243, 29 ] = UG(Cmap(486,11){12,4|9}_18)

     9-fold covered by C4[ 243, 30 ] = UG(Cmap(486,13){12,4|9}_18)

     9-fold covered by C4[ 243, 31 ] = UG(Cmap(486,14){12,4|9}_18)

     10-fold covered by C4[ 270, 11 ] = AMC( 30, 3, [ 0. 1: 2. 2])

     10-fold covered by C4[ 270, 15 ] = UG(ATD[270,13])

     10-fold covered by C4[ 270, 16 ] = UG(ATD[270,15])

     11-fold covered by C4[ 297, 6 ] = AMC( 33, 3, [ 0. 1: 2. 2])

     12-fold covered by C4[ 324, 18 ] = AMC( 36, 3, [ 0. 1: 2. 2])

     12-fold covered by C4[ 324, 45 ] = UG(ATD[324,68])

     12-fold covered by C4[ 324, 46 ] = UG(ATD[324,70])

     12-fold covered by C4[ 324, 47 ] = UG(ATD[324,72])

     12-fold covered by C4[ 324, 48 ] = UG(ATD[324,74])

     12-fold covered by C4[ 324, 49 ] = UG(ATD[324,76])

     12-fold covered by C4[ 324, 50 ] = UG(ATD[324,78])

     12-fold covered by C4[ 324, 51 ] = UG(ATD[324,80])

     12-fold covered by C4[ 324, 52 ] = UG(ATD[324,82])

     12-fold covered by C4[ 324, 53 ] = UG(ATD[324,84])

     12-fold covered by C4[ 324, 56 ] = UG(ATD[324,93])

     12-fold covered by C4[ 324, 59 ] = UG(ATD[324,112])

     12-fold covered by C4[ 324, 61 ] = UG(ATD[324,118])

     12-fold covered by C4[ 324, 62 ] = UG(ATD[324,121])

     12-fold covered by C4[ 324, 63 ] = UG(ATD[324,127])

     12-fold covered by C4[ 324, 64 ] = UG(ATD[324,130])

     12-fold covered by C4[ 324, 65 ] = UG(ATD[324,133])

     12-fold covered by C4[ 324, 66 ] = UG(ATD[324,139])

     12-fold covered by C4[ 324, 67 ] = UG(ATD[324,142])

     12-fold covered by C4[ 324, 68 ] = UG(ATD[324,145])

     13-fold covered by C4[ 351, 11 ] = AMC( 39, 3, [ 0. 1: 2. 2])

     13-fold covered by C4[ 351, 14 ] = UG(ATD[351,11])

     13-fold covered by C4[ 351, 16 ] = UG(Cmap(702,15){12,4|39}_78)

     14-fold covered by C4[ 378, 19 ] = AMC( 42, 3, [ 0. 1: 2. 2])

     14-fold covered by C4[ 378, 20 ] = UG(ATD[378,9])

     14-fold covered by C4[ 378, 21 ] = UG(ATD[378,11])

     14-fold covered by C4[ 378, 24 ] = UG(ATD[378,32])

     15-fold covered by C4[ 405, 11 ] = AMC( 45, 3, [ 0. 1: 2. 2])

     15-fold covered by C4[ 405, 13 ] = UG(ATD[405,21])

     15-fold covered by C4[ 405, 14 ] = UG(ATD[405,23])

     15-fold covered by C4[ 405, 15 ] = UG(ATD[405,27])

     15-fold covered by C4[ 405, 16 ] = UG(ATD[405,29])

     15-fold covered by C4[ 405, 17 ] = UG(ATD[405,31])

     15-fold covered by C4[ 405, 18 ] = UG(ATD[405,33])

     16-fold covered by C4[ 432, 48 ] = AMC( 48, 3, [ 0. 1: 2. 2])

     16-fold covered by C4[ 432, 82 ] = UG(ATD[432,87])

     16-fold covered by C4[ 432, 108 ] = UG(ATD[432,157])

     16-fold covered by C4[ 432, 109 ] = UG(ATD[432,158])

     16-fold covered by C4[ 432, 114 ] = UG(ATD[432,172])

     16-fold covered by C4[ 432, 115 ] = UG(ATD[432,175])

     16-fold covered by C4[ 432, 119 ] = UG(ATD[432,187])

     16-fold covered by C4[ 432, 122 ] = UG(ATD[432,194])

     16-fold covered by C4[ 432, 125 ] = UG(ATD[432,201])

     16-fold covered by C4[ 432, 128 ] = UG(ATD[432,210])

     16-fold covered by C4[ 432, 131 ] = UG(ATD[432,217])

     16-fold covered by C4[ 432, 133 ] = UG(ATD[432,223])

     16-fold covered by C4[ 432, 136 ] = UG(ATD[432,232])

     16-fold covered by C4[ 432, 138 ] = UG(ATD[432,238])

     16-fold covered by C4[ 432, 139 ] = UG(ATD[432,262])

     16-fold covered by C4[ 432, 140 ] = UG(ATD[432,277])

     16-fold covered by C4[ 432, 141 ] = UG(ATD[432,298])

     16-fold covered by C4[ 432, 147 ] = UG(ATD[432,316])

     16-fold covered by C4[ 432, 150 ] = UG(ATD[432,325])

     16-fold covered by C4[ 432, 153 ] = UG(ATD[432,336])

     16-fold covered by C4[ 432, 156 ] = UG(ATD[432,347])

     17-fold covered by C4[ 459, 6 ] = AMC( 51, 3, [ 0. 1: 2. 2])

     17-fold covered by C4[ 459, 7 ] = UG(Cmap(918,3){12,4|51}_102)

     18-fold covered by C4[ 486, 14 ] = AMC( 54, 3, [ 0. 1: 2. 2])

     18-fold covered by C4[ 486, 15 ] = AMC( 6, 9, [ 1. 5: 3. 1])

     18-fold covered by C4[ 486, 16 ] = AMC( 6, 9, [ 1. 8: 3. 7])

     18-fold covered by C4[ 486, 26 ] = UG(ATD[486,29])

     18-fold covered by C4[ 486, 27 ] = UG(ATD[486,31])

     18-fold covered by C4[ 486, 28 ] = UG(ATD[486,33])

     18-fold covered by C4[ 486, 29 ] = UG(ATD[486,35])

     18-fold covered by C4[ 486, 30 ] = UG(ATD[486,39])

     18-fold covered by C4[ 486, 31 ] = UG(ATD[486,41])

     18-fold covered by C4[ 486, 32 ] = UG(ATD[486,43])

     18-fold covered by C4[ 486, 33 ] = UG(ATD[486,45])

     18-fold covered by C4[ 486, 34 ] = UG(ATD[486,47])

     18-fold covered by C4[ 486, 40 ] = UG(ATD[486,58])

     18-fold covered by C4[ 486, 41 ] = UG(ATD[486,60])

     18-fold covered by C4[ 486, 43 ] = UG(ATD[486,63])

     18-fold covered by C4[ 486, 44 ] = UG(ATD[486,64])

     18-fold covered by C4[ 486, 45 ] = UG(ATD[486,65])

     18-fold covered by C4[ 486, 47 ] = UG(ATD[486,67])

     18-fold covered by C4[ 486, 49 ] = UG(ATD[486,70])

     18-fold covered by C4[ 486, 50 ] = UG(ATD[486,74])

     18-fold covered by C4[ 486, 52 ] = UG(ATD[486,86])

     18-fold covered by C4[ 486, 53 ] = UG(ATD[486,89])

     18-fold covered by C4[ 486, 54 ] = UG(ATD[486,92])

     18-fold covered by C4[ 486, 55 ] = UG(ATD[486,98])

     18-fold covered by C4[ 486, 56 ] = UG(ATD[486,101])

     18-fold covered by C4[ 486, 57 ] = UG(ATD[486,104])

     18-fold covered by C4[ 486, 58 ] = UG(ATD[486,107])

     18-fold covered by C4[ 486, 59 ] = UG(ATD[486,110])

     18-fold covered by C4[ 486, 60 ] = UG(ATD[486,113])

     18-fold covered by C4[ 486, 61 ] = UG(ATD[486,116])

     18-fold covered by C4[ 486, 62 ] = UG(ATD[486,119])

     18-fold covered by C4[ 486, 63 ] = UG(ATD[486,125])

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

      C4[ 54, 5 ] = AMC( 6, 3, [ 0. 1: 2. 2])    with connection graph  [K_1]

      C4[ 54, 6 ] = PL(ProjLR(3,3))    with connection graph  [K_1]

      C4[ 108, 19 ] = UG(ATD[108,24])    with connection graph  [K_2]

      C4[ 108, 20 ] = UG(ATD[108,27])    with connection graph  [K_2]

      C4[ 108, 21 ] = UG(ATD[108,30])    with connection graph  [K_2]

      C4[ 108, 22 ] = XI(Rmap(54,3){4,12|3}_6)    with connection graph  [K_2]

      C4[ 162, 7 ] = CPM( 3, 3, 2, 1)    with connection graph  [C_3]

      C4[ 162, 9 ] = PL(AffLR( 3, 3))$    with connection graph  [C_3]

      C4[ 162, 14 ] = UG(ATD[162,14])    with connection graph  [C_3]

      C4[ 162, 15 ] = UG(ATD[162,16])    with connection graph  [C_3]

      C4[ 162, 16 ] = UG(ATD[162,26])    with connection graph  [C_3]

      C4[ 162, 17 ] = UG(ATD[162,29])    with connection graph  [C_3]

      C4[ 162, 18 ] = XI(Rmap(81,3){3,6|6}_18)    with connection graph  [C_3]

      C4[ 162, 20 ] = XI(Rmap(81,33){6,18|6}_9)    with connection graph  [C_3]

      C4[ 216, 31 ] = PL(ProjLR(3,6))    with connection graph  [K_4]

      C4[ 216, 57 ] = UG(ATD[216,74])    with connection graph  [C_4]

      C4[ 216, 58 ] = UG(ATD[216,75])    with connection graph  [C_4]

      C4[ 216, 59 ] = UG(ATD[216,78])    with connection graph  [C_4]

      C4[ 216, 71 ] = PL(ATD[6,1]#ATD[27,5])    with connection graph  [K_4]

      C4[ 216, 73 ] = XI(Rmap(108,6){4,6|6}_12)    with connection graph  [C_4]

      C4[ 216, 96 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K1;3)    with connection graph  [K_4]

      C4[ 216, 97 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K1;6)    with connection graph  [K_4]

      C4[ 216, 99 ] = BGCG(UG(ATD[108,30]); K1;1)    with connection graph  [C_4]

      C4[ 216, 100 ] = BGCG(UG(ATD[108,30]); K1;{2, 3})    with connection graph  [C_4]

      C4[ 270, 14 ] = UG(ATD[270,12])    with connection graph  [C_5]

      C4[ 270, 15 ] = UG(ATD[270,13])    with connection graph  [C_5]

      C4[ 324, 39 ] = UG(ATD[324,42])    with connection graph  [C_6]

      C4[ 324, 53 ] = UG(ATD[324,84])    with connection graph  [C_6]

      C4[ 324, 54 ] = UG(ATD[324,87])    with connection graph  [C_6]

      C4[ 324, 55 ] = UG(ATD[324,90])    with connection graph  [K_3,3]

      C4[ 324, 56 ] = UG(ATD[324,93])    with connection graph  [K_3,3]

      C4[ 324, 57 ] = UG(ATD[324,96])    with connection graph  [K_3,3]

      C4[ 324, 58 ] = UG(ATD[324,99])    with connection graph  [C_6]

      C4[ 324, 61 ] = UG(ATD[324,118])    with connection graph  [C_6]

      C4[ 324, 62 ] = UG(ATD[324,121])    with connection graph  [C_6]

      C4[ 324, 70 ] = PL(ATD[9,1]#ATD[27,5])    with connection graph  [K_3,3]

      C4[ 324, 71 ] = XI(Rmap(162,6){6,6|6}_6)    with connection graph  [C_6]

      C4[ 324, 74 ] = XI(Rmap(162,11){6,6|6}_18)    with connection graph  [C_6]

      C4[ 324, 83 ] = XI(Rmap(162,66){6,36|6}_36)    with connection graph  [C_6]

      C4[ 324, 96 ] = BGCG(UG(ATD[162,26]); K1;{5, 7})    with connection graph  [C_6]

      C4[ 324, 97 ] = BGCG(UG(ATD[162,29]); K1;{2, 3})    with connection graph  [C_6]

      C4[ 378, 23 ] = UG(ATD[378,31])    with connection graph  [C_7]

      C4[ 378, 24 ] = UG(ATD[378,32])    with connection graph  [C_7]

      C4[ 432, 120 ] = UG(ATD[432,190])    with connection graph  [C_8]

      C4[ 432, 121 ] = UG(ATD[432,191])    with connection graph  [C_8]

      C4[ 432, 122 ] = UG(ATD[432,194])    with connection graph  [C_8]

      C4[ 432, 168 ] = PL(ATD[12,4]#ATD[27,5])    with connection graph  [Q_3]

      C4[ 432, 200 ] = PL(CSI(AMC( 3, 3, [ 0. 1: 2. 2])[ 3^ 18], 8))    with connection graph  [C_8]

      C4[ 432, 239 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;3)    with connection graph  [Q_3]

      C4[ 432, 241 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;5)    with connection graph  [Q_3]

      C4[ 432, 242 ] = BGCG(AMC( 3, 12, [ 1. 1: 9. 10]); K2;6)    with connection graph  [Q_3]

      C4[ 432, 266 ] = BGCG(UG(ATD[216,74]); K1;{1, 5})    with connection graph  [C_8]

      C4[ 432, 269 ] = BGCG(UG(ATD[216,74]); K1;7)    with connection graph  [C_8]

      C4[ 432, 272 ] = BGCG(UG(ATD[216,75]); K1;{3, 6})    with connection graph  [C_8]

      C4[ 486, 38 ] = UG(ATD[486,54])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 41 ] = UG(ATD[486,60])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 42 ] = UG(ATD[486,62])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 50 ] = UG(ATD[486,74])    with connection graph  [C_9]

      C4[ 486, 51 ] = UG(ATD[486,76])    with connection graph  [C_9]

      C4[ 486, 52 ] = UG(ATD[486,86])    with connection graph  [C_9]

      C4[ 486, 53 ] = UG(ATD[486,89])    with connection graph  [C_9]

      C4[ 486, 54 ] = UG(ATD[486,92])    with connection graph  [C_9]

      C4[ 486, 58 ] = UG(ATD[486,107])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 59 ] = UG(ATD[486,110])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 60 ] = UG(ATD[486,113])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 62 ] = UG(ATD[486,119])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 63 ] = UG(ATD[486,125])    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 67 ] = XI(Rmap(243,18){9,6|6}_18)    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 68 ] = XI(Rmap(243,22){27,6|6}_54)    with connection graph  [C_9]

      C4[ 486, 69 ] = XI(Rmap(243,23){27,6|6}_54)    with connection graph  [C_9]

      C4[ 486, 74 ] = XI(Rmap(243,70){6,18|6}_9)    with connection graph  [C_9]

      C4[ 486, 75 ] = XI(Rmap(243,71){6,18|6}_9)    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 76 ] = BGCG(CPM( 3, 3, 1, 1), C_ 3, {2, 3})    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 77 ] = BGCG(UG(ATD[81,12]), C_ 3, {1, 3})    with connection graph  [CV = 9, Cdeg = 6]

      C4[ 486, 78 ] = BGCG(UG(ATD[81,14]), C_ 3, {2, 3})    with connection graph  [CV = 9, Cdeg = 6]