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On this page are computer-accessible forms for the graph C4[ 72, 14 ] = Pr_24(1,13,17,5).

(I) Following is a form readable by MAGMA:

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

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

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