1NAUTY-VCOLG(1) Nauty Manual NAUTY-VCOLG(1)
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6 nauty-vcolg - colour the vertices of graphs in all distinct ways
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9 vcolg [-q] [-u|-T|-o] [-e#|-e#:#] [-m#] [-c#,..,#] [-f#] [infile [out‐
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13 Read graphs or digraphs and colour their vertices in all possi‐
14 ble ways with colours 0,1,2,... . Isomorphic graphs derived
15 from the same input are suppressed. If the input graphs are
16 non-isomorphic then the output graphs are also.
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18 -e# | -e#:#
19 specify a value or range of the total value of the colours
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21 -m# number of available colours (default 2 if -c not given)
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23 -c#,..,#
24 specify the maximum number of vertices of each colour
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26 The total must at least equal the number of vertices in the in‐
27 put.
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29 -d#,..,#
30 minimum vertex degree for each colour (out-degree for digraphs)
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32 -D#,..,#
33 maximum vertex degree for each colour (out-degree for digraphs)
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35 -d and -D can have fewer colours than -m/-c but not more
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37 -f# Use the group that fixes the first # vertices setwise
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39 -T Use a simple text output format (nv ne {col} {v1 v2})
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41 -o Use sparse6 (undirected) or digraph6 (directed) for output,
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43 provided m=2 and the inputs have no loops.
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45 -u no output, just count them
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47 -q suppress auxiliary information
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51nauty 2.8.6 September 2023 NAUTY-VCOLG(1)