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On this page are computer-accessible forms for the graph C4[ 76, 2 ] = R_38(21,20).

(I) Following is a form readable by MAGMA:

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

(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: (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)
b: (9, 46)(10, 66)(28, 65)(29, 47)
c: (7, 44)(8, 64)(26, 63)(27, 45)
d: (8, 45)(9, 28)(10, 66)(27, 64)(29, 47)(46, 65)
e: (17, 54)(18, 74)(36, 73)(37, 55)
f: (14, 51)(15, 34)(16, 72)(33, 70)(35, 53)(52, 71)
g: (5, 42)(6, 62)(24, 61)(25, 43)
h: (15, 52)(16, 72)(34, 71)(35, 53)
m: (13, 50)(14, 70)(32, 69)(33, 51)
n1: (18, 55)(19, 75)(37, 74)(38, 56)
a1: (6, 43)(7, 26)(8, 64)(25, 62)(27, 45)(44, 63)
b1: (4, 41)(5, 24)(6, 62)(23, 60)(25, 43)(42, 61)
c1: (11, 48)(12, 68)(30, 67)(31, 49)
d1: (10, 47)(11, 30)(12, 68)(29, 66)(31, 49)(48, 67)
e1: (12, 49)(13, 32)(14, 70)(31, 68)(33, 51)(50, 69)
f1: (2, 56, 39, 38)(3, 18, 59, 55)(4, 17)(5, 16)(6, 15)(7, 14)(8, 13)(9, 12)(10, 11)(19, 21, 75, 58)(22, 37, 40, 74)(23, 36)(24, 35)(25, 34)(26, 33)(27, 32)(28, 31)(29, 30)(41, 73)(42, 72)(43, 71)(44, 70)(45, 69)(46, 68)(47, 67)(48, 66)(49, 65)(50, 64)(51, 63)(52, 62)(53, 61)(54, 60)(57, 76)
g1: (16, 53)(17, 36)(18, 74)(35, 72)(37, 55)(54, 73)

(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.

**************

&Graph
C4[ 76, 2 ]
76
-1 56 2 38 39
-2 1 57 3 40
-3 2 58 4 41
-4 3 59 5 42
-5 4 60 6 43
-6 44 5 61 7
-7 45 6 62 8
-8 46 7 63 9
-9 47 8 64 10
-10 11 48 9 65
-11 66 12 49 10
-12 11 67 13 50
-13 12 68 14 51
-14 13 69 15 52
-15 14 70 16 53
-16 15 71 17 54
-17 55 16 72 18
-18 56 17 73 19
-19 57 18 74 20
-20 58 19 75 21
-21 22 59 20 76
-22 23 60 39 21
-23 22 24 61 40
-24 23 25 62 41
-25 24 26 63 42
-26 25 27 64 43
-27 44 26 28 65
-28 66 45 27 29
-29 67 46 28 30
-30 68 47 29 31
-31 69 48 30 32
-32 33 70 49 31
-33 34 71 50 32
-34 33 35 72 51
-35 34 36 73 52
-36 35 37 74 53
-37 36 38 75 54
-38 55 1 37 76
-39 22 1 57 59
-40 23 2 58 60
-41 24 3 59 61
-42 25 4 60 62
-43 26 5 61 63
-44 27 6 62 64
-45 28 7 63 65
-46 66 29 8 64
-47 67 30 9 65
-48 66 68 31 10
-49 11 67 69 32
-50 33 12 68 70
-51 34 13 69 71
-52 35 14 70 72
-53 36 15 71 73
-54 37 16 72 74
-55 38 17 73 75
-56 1 18 74 76
-57 2 39 19 75
-58 3 40 20 76
-59 4 39 41 21
-60 22 5 40 42
-61 23 6 41 43
-62 44 24 7 42
-63 45 25 8 43
-64 44 46 26 9
-65 45 47 27 10
-66 11 46 48 28
-67 12 47 49 29
-68 13 48 50 30
-69 14 49 51 31
-70 15 50 52 32
-71 33 16 51 53
-72 34 17 52 54
-73 55 35 18 53
-74 56 36 19 54
-75 55 57 37 20
-76 56 58 38 21
0

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