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On this page are computer-accessible forms for the graph C4[ 72, 11 ] = R_36(11,28).

(I) Following is a form readable by MAGMA:

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

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

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