1NAUTY-TWOHAMG(1)                 Nauty Manual                 NAUTY-TWOHAMG(1)
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NAME

6       nauty-twohamg - split quartic graphs into two hamiltonian cycles
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SYNOPSIS

9       twohamg [-sgvq] [-L#] [infile [outfile]]
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DESCRIPTION

12              Partition quartic graphs into two hamiltonian cycles.
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14              Output those which cannot be partitioned.
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16       -s     force output to sparse6 format
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18       -g     force output to graph6 format If neither -s or -g are given, the
19              output format is determined by the header or, if there is  none,
20              by the format of the first input graph. Also see -S.
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22              The output file will have a header if and only if the input file
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25       -p     Read a cubic graph and use its prism. Vertex i of the input  be‐
26              comes
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28              vertices 2*i,2*i+1 in the prism.
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30       -x     Test for decompositions using each 2-path
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32       -X     As -x but only output if two 2-paths are missed at some vertex
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34       -y     Test for decompositions using each non-triangular 3-path
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36       -t# With -x and -X, consider only paths with center #
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38              With -y, consider only paths starting at #
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40       -Y     With -p, only consider paths whose central edge is vertical
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42       -v     Give a partition for those graphs who have one and a message for
43              those which don't. With -x, list exceptional 2-paths.
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45       -L# Limit to 1000*# iterations; write with message if timeout.
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47              Graphs that time out are written to the output.
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49       -q     suppress auxiliary information
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53nauty 2.7.1                      January 2021                 NAUTY-TWOHAMG(1)