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On this page are computer-accessible forms for the graph C4[ 72, 5 ] = {4,4}_6,6.

(I) Following is a form readable by MAGMA:

g:=Graph<72|{ {2, 3}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {58, 59}, {56, 57}, {54, 55}, {30, 31}, {28, 29}, {26, 27}, {22, 23}, {20, 21}, {18, 19}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {14, 15}, {16, 17}, {32, 33}, {34, 35}, {38, 39}, {40, 41}, {42, 43}, {44, 45}, {46, 47}, {50, 51}, {52, 53}, {1, 2}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {29, 30}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {53, 54}, {3, 4}, {67, 68}, {59, 60}, {27, 28}, {19, 20}, {11, 12}, {35, 36}, {43, 44}, {51, 52}, {1, 13}, {19, 31}, {18, 30}, {2, 14}, {3, 15}, {16, 28}, {17, 29}, {32, 44}, {33, 45}, {34, 46}, {35, 47}, {48, 60}, {49, 61}, {50, 62}, {51, 63}, {1, 12}, {49, 60}, {7, 8}, {71, 72}, {55, 56}, {23, 24}, {39, 40}, {4, 16}, {5, 17}, {6, 18}, {7, 19}, {12, 24}, {13, 25}, {14, 26}, {15, 27}, {36, 48}, {37, 49}, {38, 50}, {39, 51}, {44, 56}, {45, 57}, {46, 58}, {47, 59}, {13, 24}, {37, 48}, {8, 20}, {9, 21}, {10, 22}, {11, 23}, {40, 52}, {41, 53}, {42, 54}, {43, 55}, {15, 16}, {47, 48}, {20, 32}, {31, 43}, {30, 42}, {29, 41}, {28, 40}, {23, 35}, {22, 34}, {21, 33}, {8, 62}, {9, 63}, {7, 61}, {24, 36}, {27, 39}, {26, 38}, {25, 37}, {25, 36}, {31, 32}, {1, 67}, {4, 70}, {5, 71}, {2, 68}, {3, 69}, {10, 64}, {11, 65}, {6, 72}, {12, 66}, {52, 64}, {60, 72}, {55, 67}, {54, 66}, {53, 65}, {61, 72}, {56, 68}, {59, 71}, {58, 70}, {57, 69}, {63, 64} }>;

(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: (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)
b: (2, 13)(3, 25)(4, 37)(5, 49)(6, 61)(8, 19)(9, 31)(10, 43)(11, 55)(12, 67)(15, 26)(16, 38)(17, 50)(18, 62)(21, 32)(22, 44)(23, 56)(24, 68)(28, 39)(29, 51)(30, 63)(34, 45)(35, 57)(36, 69)(41, 52)(42, 64)(47, 58)(48, 70)(54, 65)(60, 71)
c: (2, 12)(3, 11)(4, 10)(5, 9)(6, 8)(14, 24)(15, 23)(16, 22)(17, 21)(18, 20)(26, 36)(27, 35)(28, 34)(29, 33)(30, 32)(38, 48)(39, 47)(40, 46)(41, 45)(42, 44)(50, 60)(51, 59)(52, 58)(53, 57)(54, 56)(62, 72)(63, 71)(64, 70)(65, 69)(66, 68)

(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.

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&Graph
C4[ 72, 5 ]
72
-1 12 67 2 13
-2 1 68 3 14
-3 2 69 4 15
-4 3 70 5 16
-5 4 71 6 17
-6 5 72 7 18
-7 6 61 8 19
-8 7 62 9 20
-9 8 63 10 21
-10 11 22 9 64
-11 12 23 10 65
-12 11 66 1 24
-13 1 24 14 25
-14 2 13 15 26
-15 3 14 16 27
-16 4 15 17 28
-17 5 16 18 29
-18 6 17 19 30
-19 7 18 20 31
-20 8 19 21 32
-21 22 33 9 20
-22 23 34 10 21
-23 11 22 24 35
-24 12 23 13 36
-25 13 36 26 37
-26 14 25 27 38
-27 15 26 28 39
-28 16 27 29 40
-29 17 28 30 41
-30 18 29 31 42
-31 19 30 32 43
-32 33 44 20 31
-33 34 45 21 32
-34 22 33 35 46
-35 23 34 36 47
-36 24 35 25 48
-37 25 48 38 49
-38 26 37 39 50
-39 27 38 40 51
-40 28 39 41 52
-41 29 40 42 53
-42 30 41 43 54
-43 44 55 31 42
-44 45 56 32 43
-45 33 44 46 57
-46 34 45 47 58
-47 35 46 48 59
-48 36 47 37 60
-49 37 60 50 61
-50 38 49 51 62
-51 39 50 52 63
-52 40 51 53 64
-53 41 52 54 65
-54 55 66 42 53
-55 56 67 43 54
-56 44 55 57 68
-57 45 56 58 69
-58 46 57 59 70
-59 47 58 60 71
-60 48 59 49 72
-61 49 72 7 62
-62 50 61 8 63
-63 51 62 9 64
-64 52 63 10 65
-65 11 66 53 64
-66 12 67 54 65
-67 55 66 1 68
-68 56 67 2 69
-69 57 68 3 70
-70 58 69 4 71
-71 59 70 5 72
-72 60 71 6 61
0

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