1NAUTY-GENG(1) Nauty Manual NAUTY-GENG(1)
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6 nauty-geng - generate small graphs
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9 geng [-cCmtfkbd#D#] [-kTSPF] [-uygsnh] [-lvq] [-x#X#] n [mine[:maxe]]
10 [res/mod] [file]
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13 Generate all graphs of a specified class.
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15 n : the number of vertices
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17 mine:maxe : a range for the number of edges
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19 #:0 means '# or more' except in the case 0:0
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21 res/mod : only generate subset res out of subsets 0..mod-1
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23 -c : only write connected graphs
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25 -C : only write biconnected graphs
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27 -t : only generate triangle-free graphs
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29 -f : only generate 4-cycle-free graphs
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31 -p : only generate 5-cycle-free graphs
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33 -k : only generate K4-free graphs
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35 -T : only generate chordal graphs
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37 -S : only generate split graphs
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39 -P : only generate perfect graphs
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41 -F : only generate claw-free graphs
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43 -b : only generate bipartite graphs
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45 (-t, -f and -b can be used in any combination)
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47 -m : save memory at the expense of time (only makes a
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49 difference in the absence of -b, -t, -f and n <= 28).
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51 -d# : a lower bound for the minimum degree
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53 -D# : an upper bound for the maximum degree
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55 -v : display counts by number of edges
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57 -l : canonically label output graphs
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59 -u : do not output any graphs, just generate and count them
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61 -g : use graph6 output (default)
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63 -s : use sparse6 output
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65 -h : for graph6 or sparse6 format, write a header too
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67 -q : suppress auxiliary output (except from -v)
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69 See program text for much more information.
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73nauty 2.8.8 November 2023 NAUTY-GENG(1)