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NAUTY-GENBG(1) Nauty Manual NAUTY-GENBG(1)

NAME

nauty-genbg - generate small bicoloured graphs

SYNOPSIS

genbg [-c -ugs -vq -lzF] [-Z#] [-D#] [-A] [-d#|-d#:#] [-D#|-D#:#] n1 n2 [mine[:maxe]] [res/mod] [file]

DESCRIPTION

Find all bicoloured graphs of a specified class.
: the number of vertices in the first class
: the number of vertices in the second class
mine:maxe : a range for the number of edges
#:0 means '# or more' except in the case 0:0
res/mod : only generate subset res out of subsets 0..mod-1
file : the name of the output file (default stdout)
: only write connected graphs
: all the vertices in the second class must have
different neighbourhoods
: the vertices in the second class must have at least two
neighbours of degree at least 2
: there is no vertex in the first class whose removal leaves
the vertices in the second class unreachable from each other
: two vertices in the second class must have at least # common nbrs
: two vertices in the second class must have at most # common nbrs
: no vertex in the second class has a neighbourhood which is a
subset of another vertex's neighbourhood in the second class
: specify an upper bound for the maximum degree
You can also give separate maxima for the
two parts, for example: -D5:6
: specify a lower bound for the minimum degree.
Again, you can specify it separately for the two parts: -d1:2
: use graph6 format for output (default)
: use sparse6 format for output
: use Greechie diagram format for output
: do not output any graphs, just generate and count them
: display counts by number of edges to stderr
: canonically label output graphs (using the 2-part colouring)
: suppress auxiliary output
See program text for much more information.
January 2024 nauty 2.8.8