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On this page are computer-accessible forms for the graph C4[ 45, 4 ] = L(F30).

(I) Following is a form readable by MAGMA:

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

(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, 3)(6, 9)(7, 8)(11, 13)(14, 17)(15, 20)(16, 19)(18, 21)(22, 34)(23, 35)(24, 36)(25, 31)(26, 32)(27, 33)(28, 40)(29, 42)(30, 41)(37, 43)(38, 45)(39, 44)
b: (4, 5)(7, 9)(10, 11)(12, 13)(15, 21)(17, 19)(22, 25)(23, 26)(24, 27)(28, 43)(29, 45)(30, 44)(31, 40)(32, 42)(33, 41)(34, 37)(35, 38)(36, 39)
c: (1, 2)(4, 6)(5, 8)(10, 14)(11, 20)(12, 18)(13, 16)(17, 21)(22, 23)(25, 36)(26, 34)(27, 35)(28, 33)(29, 31)(30, 32)(37, 39)(40, 41)(43, 45)
d: (2, 3)(4, 5)(6, 7, 8, 9)(10, 13, 12, 11)(14, 15, 16, 21)(17, 18, 19, 20)(22, 43, 28, 25)(23, 44, 29, 27)(24, 45, 30, 26)(31, 40, 37, 34)(32, 41, 38, 36)(33, 42, 39, 35)
e: (2, 4)(3, 5)(6, 10)(7, 11)(8, 12)(9, 13)(14, 22)(15, 25)(16, 28)(17, 31)(18, 34)(19, 37)(20, 40)(21, 43)(24, 26)(27, 44)(30, 45)(33, 35)(36, 41)(39, 42)

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

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