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On this page are computer-accessible forms for the graph C4[ 52, 3 ] = R_26(15,14).

(I) Following is a form readable by MAGMA:

g:=Graph<52|{ {2, 3}, {24, 25}, {14, 15}, {12, 13}, {10, 11}, {8, 9}, {6, 7}, {4, 5}, {16, 17}, {18, 19}, {20, 21}, {22, 23}, {1, 2}, {25, 26}, {13, 14}, {9, 10}, {5, 6}, {17, 18}, {21, 22}, {3, 4}, {11, 12}, {19, 20}, {16, 27}, {20, 31}, {32, 44}, {35, 47}, {34, 46}, {33, 45}, {17, 28}, {19, 30}, {32, 46}, {33, 47}, {7, 8}, {23, 24}, {18, 29}, {34, 48}, {38, 52}, {35, 49}, {36, 48}, {39, 51}, {38, 50}, {37, 49}, {36, 50}, {37, 51}, {1, 27}, {5, 31}, {4, 30}, {1, 26}, {40, 52}, {2, 28}, {3, 29}, {15, 16}, {2, 39}, {10, 47}, {8, 45}, {6, 32}, {23, 49}, {14, 40}, {7, 33}, {15, 41}, {22, 48}, {1, 38}, {9, 46}, {8, 34}, {25, 51}, {24, 50}, {13, 39}, {12, 38}, {9, 35}, {3, 40}, {7, 44}, {4, 41}, {6, 43}, {10, 36}, {26, 52}, {11, 37}, {5, 42}, {27, 41}, {31, 45}, {30, 44}, {28, 40}, {31, 43}, {30, 42}, {29, 41}, {21, 32}, {23, 34}, {28, 42}, {29, 43}, {22, 33}, {16, 42}, {17, 43}, {20, 46}, {21, 47}, {11, 48}, {24, 35}, {15, 52}, {27, 39}, {12, 49}, {25, 36}, {14, 51}, {18, 44}, {19, 45}, {13, 50}, {26, 37} }>;

(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: (4, 29)(5, 18)(6, 44)(17, 42)(19, 31)(30, 43)
b: (9, 34)(10, 48)(22, 47)(23, 35)
c: (2, 38, 27, 26)(3, 12, 41, 37)(4, 11)(5, 10)(6, 9)(7, 8)(13, 15, 51, 40)(16, 25, 28, 50)(17, 24)(18, 23)(19, 22)(20, 21)(29, 49)(30, 48)(31, 47)(32, 46)(33, 45)(34, 44)(35, 43)(36, 42)(39, 52)
d: (11, 36)(12, 50)(24, 49)(25, 37)
e: (12, 37)(13, 51)(25, 50)(26, 38)
f: (6, 31)(7, 20)(8, 46)(19, 44)(21, 33)(32, 45)
g: (7, 32)(8, 46)(20, 45)(21, 33)
h: (5, 30)(6, 44)(18, 43)(19, 31)
m: (10, 35)(11, 24)(12, 50)(23, 48)(25, 37)(36, 49)
n1: (8, 33)(9, 22)(10, 48)(21, 46)(23, 35)(34, 47)
a1: (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)

(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[ 52, 3 ]
52
-1 2 26 27 38
-2 1 3 28 39
-3 2 4 29 40
-4 3 5 30 41
-5 4 6 31 42
-6 5 7 32 43
-7 33 44 6 8
-8 34 45 7 9
-9 35 46 8 10
-10 11 36 47 9
-11 12 37 48 10
-12 11 13 38 49
-13 12 14 39 50
-14 13 15 40 51
-15 14 16 41 52
-16 15 27 17 42
-17 16 28 18 43
-18 44 17 29 19
-19 45 18 30 20
-20 46 19 31 21
-21 22 47 20 32
-22 33 23 48 21
-23 22 34 24 49
-24 23 35 25 50
-25 24 36 26 51
-26 1 25 37 52
-27 1 16 39 41
-28 2 17 40 42
-29 3 18 41 43
-30 44 4 19 42
-31 45 5 20 43
-32 44 46 6 21
-33 22 45 47 7
-34 23 46 48 8
-35 24 47 49 9
-36 25 48 50 10
-37 11 26 49 51
-38 1 12 50 52
-39 2 13 27 51
-40 3 14 28 52
-41 4 15 27 29
-42 5 16 28 30
-43 6 17 29 31
-44 7 18 30 32
-45 33 8 19 31
-46 34 9 20 32
-47 33 35 10 21
-48 11 22 34 36
-49 12 23 35 37
-50 13 24 36 38
-51 14 25 37 39
-52 15 26 38 40
0

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