labelg - Man Page

labelg [-q] [-sgz | -C#W#] [-fxxx] [-S|-t]

[-i# -I#:# -K#] [infile [outfile]]

Canonically label a file of graphs or digraphs.

-s

force output to sparse6 format

-g

force output to graph6 format

-z

force output to digraph6 format If neither -s, -g or -z are given, the output format is determined by the header or, if there is none, by the format of the first input graph. As an exception, digraphs are always written in digraph6 format.

-S

Use sparse representation internally.

Note that this changes the canonical labelling. Multiple edges are not supported.  One loop per vertex is ok.

-t

Use Traces.

Note that this changes the canonical labelling. Multiple edges and loops are not supported, nor invariants.

-C# Make an invariant in 0..#-1 and output the number of graphs

with each value of the invariant.

Don't write graphs unless

-W too.

-W# (requires -C) Output the graphs with this invariant value,

in their original labelling.

Don't write the table.

The output file will have a header if and only if the input file does.

-fxxx

Specify a partition of the vertex set.  xxx is any

string of ASCII characters except nul.

This string is

considered extended to infinity on the right with the character 'z'. The sequence 'x^N', where x is a character and N is a number, is equivalent to writing 'x' N times.  One character is associated with each vertex, in the order given.  The labelling used obeys these rules:

(1) the new order of the vertices is such that the associated

characters are in ASCII ascending order

(2) if two graphs are labelled using the same string xxx,

the output graphs are identical iff there is an associated-character-preserving isomorphism between them. If a leading '-' is used, as in -f-xxx, the characters are assigned to the vertices starting at the last vertex, and the new order of the vertices respects decreasing ASCII order.

-i#

select an invariant (1 = twopaths, 2 = adjtriang(K), 3 = triples,

4 = quadruples, 5 = celltrips, 6 = cellquads, 7 = cellquins, 8 = distances(K), 9 = indsets(K), 10 = cliques(K), 11 = cellcliq(K),

12 = cellind(K), 13 = adjacencies, 14 = cellfano, 15 = cellfano2, 16 = refinvar(K))

-I#:#

select mininvarlevel and maxinvarlevel (default 1:1)

-K#

select invararg (default 3)

-q

suppress auxiliary information