NAUTY-PICKG(1) Nauty Manual NAUTY-PICKG(1)
NAME
nauty-pickg - select graphs according to a variety of properties
SYNOPSIS
[pickg|countg] [-fp#:#q -V] [--keys] [-constraints -v] [ifile [ofile]]
DESCRIPTION
countg : Count graphs according to their properties.
pickg : Select graphs according to their properties.
ifile, ofile : Input and output files.
'-' and missing names imply stdin and stdout.
Miscellaneous switches:
-p# -p#:#
Specify range of input lines (first is 1) May fail if input is
incremental.
-f With -p, assume input lines of fixed length (only used with a
file in graph6/digraph6 format)
-v Negate all constraints (but not -p)
-X Reverse selection (but -p still observed)
-V List properties of every input matching constraints.
-l Put a blank line whenever the first parameter changes, if there
are at least two parameters.
-1 Write output as lines of numbers separated by spaces, with 0/1
for boolean and both endpoints of ranges given separately even
if they are the same, and the count at the end of the line.
Also, no total is written.
-2 The same as -1 but counts are not written.
-q Suppress informative output.
Constraints:
Numerical constraints (shown here with following #) can take a
single integer value, or a range like #:#, #:, or :#. Each can
also be preceded by '~', which negates it. (For example,
-~D2:4 will match any maximum degree which is _not_ 2, 3, or 4.)
Constraints are applied to all input graphs, and only those
which match all constraints are counted or selected.
-n# number of vertices -e# number of edges
-ee# number of non-edges (including loops for digraphs)
-L# number of loops -C strongly connected
-LL# number of 2-cycles -cc# number of components
-d# minimum (out-)degree -D# maximum (out-)degree
-m# vertices of min (out-)degree -M# vertices of max (out-)degree
-u# minimum (in-)degree -U# maximum (in-)degree
-s# vertices of min (in-)degree -S# vertices of max (in-)degree
-r regular -b bipartite
-z# radius -Z# diameter
-g# girth (0=acyclic) -Y# total number of cycles
-h# maximum independent set -k# maximum clique
-T# number of triangles -K# number of maximal cliques
-TT# number independent sets of size 3
-B# smallest possible first side of a bipartition (0 if nonbipar-
tite)
-H# number of induced cycles -W# number of 4-cycles
-E Eulerian (all degrees are even, connectivity not required)
-a# group size -o# orbits -F# fixed points -t vertex-transitive
-c# connectivity (only implemented for 0,1,2).
-i# min common nbrs of adjacent vertices; -I# maximum
-j# min common nbrs of non-adjacent vertices; -J# maximum
-x# number of sources -xx# number of sinks
-WW# number of diamonds
Sort keys:
Counts are made for all graphs passing the constraints.
Counts
are given separately for each combination of values occurring
for the properties listed as sort keys. A sort key is intro-
duced by '--' and uses one of the letters known as constraints.
These can be combined: --n --e --r is the same as --ne --r
and --ner. The order of sort keys is significant. A comma can
be used as a separator.
The sort key ':' has a special purpose: the values of sort keys
following ':' are given as ranges rather than creating a sepa-
rate line for each value. For example --e:zZ will give the
ranges of radius and diameter that occur for each number of
edges. The output format matches the input, except that sparse6
is used to output an incremental graph whose predecessor is not
output.
nauty 2.8.6 January 2023 NAUTY-PICKG(1)
Generated by dwww version 1.15 on Thu Jun 20 11:56:35 CEST 2024.