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NAUTY-MULTIG(1)                  Nauty Manual                  NAUTY-MULTIG(1)

NAME
       nauty-multig - generate small multigraphs with given underlying graph

SYNOPSIS
       multig [-q] [-V] [-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).   Isomor-
              phic 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)

       -V     read the T format as produced  by  vcolg  and  obey  the  vertex
              colours in computing the automorphism group. If -T or -G is used
              as the output format, a list of the input colours is included.

              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

nauty 2.8.6                      January 2023                  NAUTY-MULTIG(1)

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