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On this page are computer-accessible forms for the graph C4[ 72, 2 ] = C_72(1,17).

(I) Following is a form readable by MAGMA:

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

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

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