This is the command nauty-multig 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-multig - generate small multigraphs with given underlying graph
SYNOPSIS
multig [-q] [-u|-T|-G|-A|-B] [-e#|-e#:#]
DESCRIPTION
[-m#] [-f#] [-D#|-r#|-l#] [infile [outfile]]
Read undirected loop-free graphs and replace their edges with multiple
edges in all possible ways (multiplicity at least 1). Isomorphic multigraphs
derived from the same input are suppressed. If the input graphs are non-isomorphic
then the output graphs are also.
-e# | -e#:#
specify a value or range of the total number of edges counting multiplicities
-m# maximum edge multiplicity (minimum is 1)
-D# upper bound on maximum degree
-r# make regular of specified degree (incompatible with -l, -D, -e)
-l# make regular multigraphs with multiloops, degree #
(incompatible with -r, -D, -e)
Either -l, -r, -D, -e or -m with a finite maximum must be given -f# Use the group
that fixes the first # vertices setwise -T use a simple text output format (nv ne
{v1 v2 mult}) -G like -T but includes group size as third item (if less than
10^10)
The group size does not include exchange of isolated vertices.
-A write as the upper triangle of an adjacency matrix, row by row, including the
diagonal, and preceded by the number of vertices
-B write as an integer matrix preceded by the number of rows and number of columns,
where -f determines the number of rows
-u no output, just count them
-q suppress auxiliary information
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