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On this page are computer-accessible forms for the graph C4[ 78, 2 ] = C_78(1,25).

(I) Following is a form readable by MAGMA:

g:=Graph<78|{ {2, 3}, {76, 77}, {74, 75}, {72, 73}, {70, 71}, {68, 69}, {66, 67}, {64, 65}, {62, 63}, {60, 61}, {58, 59}, {56, 57}, {54, 55}, {26, 27}, {24, 25}, {22, 23}, {20, 21}, {4, 5}, {6, 7}, {8, 9}, {10, 11}, {12, 13}, {14, 15}, {16, 17}, {18, 19}, {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}, {1, 2}, {77, 78}, {73, 74}, {69, 70}, {65, 66}, {61, 62}, {57, 58}, {53, 54}, {25, 26}, {21, 22}, {5, 6}, {9, 10}, {13, 14}, {17, 18}, {29, 30}, {33, 34}, {37, 38}, {41, 42}, {45, 46}, {49, 50}, {3, 4}, {75, 76}, {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, 27}, {4, 29}, {6, 31}, {32, 57}, {34, 59}, {36, 61}, {38, 63}, {1, 26}, {5, 30}, {33, 58}, {37, 62}, {3, 28}, {15, 16}, {35, 60}, {47, 48}, {7, 32}, {23, 48}, {15, 40}, {31, 56}, {8, 33}, {26, 51}, {24, 49}, {10, 35}, {12, 37}, {14, 39}, {28, 53}, {30, 55}, {9, 34}, {25, 50}, {13, 38}, {29, 54}, {11, 36}, {27, 52}, {2, 55}, {8, 61}, {10, 63}, {1, 54}, {9, 62}, {16, 41}, {22, 47}, {20, 45}, {18, 43}, {3, 56}, {21, 46}, {7, 60}, {17, 42}, {4, 57}, {6, 59}, {5, 58}, {19, 44}, {31, 32}, {11, 64}, {15, 68}, {12, 65}, {14, 67}, {1, 78}, {13, 66}, {16, 69}, {24, 77}, {18, 71}, {17, 70}, {25, 78}, {19, 72}, {23, 76}, {20, 73}, {22, 75}, {21, 74}, {39, 64}, {47, 72}, {40, 65}, {42, 67}, {44, 69}, {46, 71}, {41, 66}, {45, 70}, {43, 68}, {48, 73}, {50, 75}, {52, 77}, {49, 74}, {53, 78}, {51, 76}, {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, 54)(3, 29)(5, 57)(6, 32)(8, 60)(9, 35)(11, 63)(12, 38)(14, 66)(15, 41)(17, 69)(18, 44)(20, 72)(21, 47)(23, 75)(24, 50)(26, 78)(27, 53)(30, 56)(33, 59)(36, 62)(39, 65)(42, 68)(45, 71)(48, 74)(51, 77)
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, 73, 74, 75, 76, 77, 78)
c: (2, 26)(3, 51)(4, 76)(5, 23)(6, 48)(7, 73)(8, 20)(9, 45)(10, 70)(11, 17)(12, 42)(13, 67)(15, 39)(16, 64)(18, 36)(19, 61)(21, 33)(22, 58)(24, 30)(25, 55)(28, 52)(29, 77)(31, 49)(32, 74)(34, 46)(35, 71)(37, 43)(38, 68)(41, 65)(44, 62)(47, 59)(50, 56)(54, 78)(57, 75)(60, 72)(63, 69)

(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[ 78, 2 ]
78
-1 78 2 26 54
-2 55 1 3 27
-3 56 2 4 28
-4 57 3 5 29
-5 58 4 6 30
-6 59 5 7 31
-7 60 6 8 32
-8 33 61 7 9
-9 34 62 8 10
-10 11 35 63 9
-11 12 36 64 10
-12 11 13 37 65
-13 66 12 14 38
-14 67 13 15 39
-15 68 14 16 40
-16 69 15 17 41
-17 70 16 18 42
-18 71 17 19 43
-19 44 72 18 20
-20 45 73 19 21
-21 22 46 74 20
-22 23 47 75 21
-23 22 24 48 76
-24 77 23 25 49
-25 78 24 26 50
-26 1 25 27 51
-27 2 26 28 52
-28 3 27 29 53
-29 4 28 30 54
-30 55 5 29 31
-31 56 6 30 32
-32 33 57 7 31
-33 34 58 8 32
-34 33 35 59 9
-35 34 36 60 10
-36 11 35 37 61
-37 12 36 38 62
-38 13 37 39 63
-39 14 38 40 64
-40 15 39 41 65
-41 66 16 40 42
-42 67 17 41 43
-43 44 68 18 42
-44 45 69 19 43
-45 44 46 70 20
-46 45 47 71 21
-47 22 46 48 72
-48 23 47 49 73
-49 24 48 50 74
-50 25 49 51 75
-51 26 50 52 76
-52 77 27 51 53
-53 78 28 52 54
-54 55 1 29 53
-55 56 2 30 54
-56 55 57 3 31
-57 56 58 4 32
-58 33 57 59 5
-59 34 58 60 6
-60 35 59 61 7
-61 36 60 62 8
-62 37 61 63 9
-63 38 62 64 10
-64 11 39 63 65
-65 66 12 40 64
-66 67 13 41 65
-67 66 68 14 42
-68 67 69 15 43
-69 44 68 70 16
-70 45 69 71 17
-71 46 70 72 18
-72 47 71 73 19
-73 48 72 74 20
-74 49 73 75 21
-75 22 50 74 76
-76 77 23 51 75
-77 78 24 52 76
-78 77 1 25 53
0

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