This is the command nauty-countg that can be run in the OnWorks free hosting provider using one of our multiple free online workstations such as Ubuntu Online, Fedora Online, Windows online emulator or MAC OS online emulator
PROGRAM:
NAME
nauty-countg - count 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)
-f With -p, assume input lines of fixed length (only used with a file in graph6
format)
-v Negate all constraints
-V List properties of every input matching constraints.
-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
-d# minimum degree -D# maximum degree
-m# vertices of min degree -M# vertices of max degree
-r regular -b bipartite
-z# radius -Z# diameter
-g# girth (0=acyclic) -Y# total number of cycles
-T# number of triangles -K# number of maximal independent sets
-H# number of induced 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
Sort keys:
Counts are made for all graphs passing the constraints.
Counts
are given separately for each combination of values occuring for the properties
listed as sort keys. A sort key is introduced 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.
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