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On this page are computer-accessible forms for the graph C4[ 72, 6 ] = {4,4}_<9,3>.

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

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