1NAUTY-GENBG(1) Nauty Manual NAUTY-GENBG(1)
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6 nauty-genbg - generate small bicoloured graphs
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9 genbg [-c -ugs -vq -lzF] [-Z#] [-D#] [-A] [-d#|-d#:#] [-D#|-D#:#] n1 n2
10 [mine[:maxe]] [res/mod] [file]
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13 Find all bicoloured graphs of a specified class.
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15 n1 : the number of vertices in the first class
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17 n2 : the number of vertices in the second class
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19 mine:maxe : a range for the number of edges
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21 #:0 means '# or more' except in the case 0:0
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23 res/mod : only generate subset res out of subsets 0..mod-1
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25 file : the name of the output file (default stdout)
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27 -c : only write connected graphs
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29 -z : all the vertices in the second class must have
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31 different neighbourhoods
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33 -F : the vertices in the second class must have at least two
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35 neighbours of degree at least 2
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37 -L : there is no vertex in the first class whose removal leaves
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39 the vertices in the second class unreachable from each other
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41 -Z# : two vertices in the second class may have at most # common
42 nbrs
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44 -A : no vertex in the second class has a neighbourhood which is a
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46 subset of another vertex in the second class
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48 -D# : specify an upper bound for the maximum degree
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50 Example: -D6.
51 You can also give separate maxima for the
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53 two parts, for example: -D5:6
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55 -d# : specify a lower bound for the minimum degree.
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57 Again, you can specify it separately for the two parts: -d1:2
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59 -g : use graph6 format for output (default)
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61 -s : use sparse6 format for output
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63 -a : use Greechie diagram format for output
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65 -u : do not output any graphs, just generate and count them
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67 -v : display counts by number of edges to stderr
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69 -l : canonically label output graphs (using the 2-part colouring)
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71 -q : suppress auxiliary output
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73 See program text for much more information.
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77nauty 2.6.12 January 2020 NAUTY-GENBG(1)