genbg - Man Page

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

Find all bicoloured graphs of a specified class.

n1

: the number of vertices in the first class

n2

: 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)

-c

: only write connected graphs

-z

: all the vertices in the second class must have

different neighbourhoods

-F

: the vertices in the second class must have at least two

neighbours of degree at least 2

-L

: there is no vertex in the first class whose removal leaves

the vertices in the second class unreachable from each other

-Y#

: two vertices in the second class must have at least # common nbrs

-Z#

: two vertices in the second class must have at most # common nbrs

-A

: no vertex in the second class has a neighbourhood which is a

subset of another vertex's neighbourhood in the second class

-D#

: specify an upper bound for the maximum degree

Example: -D6.

You can also give separate maxima for the

two parts, for example: -D5:6

-d#

: specify a lower bound for the minimum degree.

Again, you can specify it separately for the two parts: -d1:2

-g

: use graph6 format for output (default)

-s

: use sparse6 format for output

-a

: use Greechie diagram format for output

-u

: do not output any graphs, just generate and count them

-v

: display counts by number of edges to stderr

-l

: canonically label output graphs (using the 2-part colouring)

-q

: suppress auxiliary output

See program text for much more information.