1NAUTY-MULTIG(1) Nauty Manual NAUTY-MULTIG(1)
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6 nauty-multig - generate small multigraphs with given underlying graph
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9 multig [-q] [-V] [-u|-T|-G|-A|-B] [-e#|-e#:#]
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12 [-m#] [-f#] [-D#|-r#|-l#] [infile [outfile]]
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14 Read undirected loop-free graphs and replace their edges with
15 multiple
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17 edges in all possible ways (multiplicity at least 1). Isomorā
18 phic multigraphs derived from the same input are suppressed. If
19 the input graphs are non-isomorphic then the output graphs are
20 also.
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22 -e# | -e#:#
23 specify a value or range of the total number of edges counting
24 multiplicities
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26 -m# maximum edge multiplicity (minimum is 1)
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28 -D# upper bound on maximum degree
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30 -r# make regular of specified degree (incompatible with -l, -D, -e)
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32 -l# make regular multigraphs with multiloops, degree #
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34 (incompatible with -r, -D, -e)
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36 -V read the T format as produced by vcolg and obey the vertex
37 colours in computing the automorphism group. If -T or -G is used
38 as the output format, a list of the input colours is included.
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40 Either -l, -r, -D, -e or -m with a finite maximum must be given
41 -f# Use the group that fixes the first # vertices setwise -T
42 use a simple text output format (nv ne {v1 v2 mult}) -G like -T
43 but includes group size as third item (if less than 10^10)
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45 The group size does not include exchange of isolated vertices.
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47 -A write as the upper triangle of an adjacency matrix, row by row,
48 including the diagonal, and preceded by the number of vertices
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50 -B write as an integer matrix preceded by the number of rows and
51 number of columns, where -f determines the number of rows
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53 -u no output, just count them
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55 -q suppress auxiliary information
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59nauty 2.7.4 July 2022 NAUTY-MULTIG(1)