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On this page are computer-accessible forms for the graph C4[ 35, 2 ] = Odd4.

(I) Following is a form readable by MAGMA:

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

(II) A more general form is to represent the graph as the orbit of {22, 23} under the group generated by the following permutations:

a: (1, 2, 10, 6, 16, 17, 4)(3, 20, 24, 21, 7, 5, 9)(8, 27, 33, 29, 18, 30, 25)(11, 15, 26, 13, 34, 32, 19)(12, 23, 31, 35, 14, 28, 22)
b: (3, 16)(4, 27)(5, 30)(6, 15)(8, 12)(10, 28)(14, 24)(18, 33)(20, 34)(25, 31)
c: (2, 8)(3, 29)(5, 26)(6, 11)(9, 10)(13, 27)(14, 17)(19, 33)(21, 31)(32, 34)
d: (2, 6)(3, 29)(5, 26)(8, 11)(9, 14)(10, 17)(12, 15)(13, 27)(19, 33)(20, 25)(21, 34)(22, 35)(24, 28)(31, 32)
e: (2, 9)(3, 16, 27, 4)(5, 23, 30, 26)(6, 12, 10, 24)(7, 18, 19, 33)(8, 15, 14, 28)(11, 17)(13, 29)(20, 21, 34, 22)(25, 32, 31, 35)
f: (2, 13, 11, 17, 29, 9)(3, 15, 14, 4, 6, 12, 27, 28, 8, 16, 10, 24)(5, 23, 30, 26)(7, 20, 21, 33, 35, 25, 19, 34, 22, 18, 32, 31)

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

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