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 NAUTY-GENSPECIALG(1) Nauty Manual NAUTY-GENSPECIALG(1)

# NAME¶

nauty-genspecialg - generate special graphs

# SYNOPSIS¶

genspecialg [-s|-g|-z|-d|-v] [-q] [-p#|-c#|-e#|-k#|-b#,#[,#]| -Q#|-f#|-J#,#|-P#,#|C#,#...|G#,#...|T#,#...]* [outfile]

# DESCRIPTION¶

Generate special graphs.

# OPTIONS¶

## General Options:¶

-s : Write in sparse6 format (default)

-g : Write in graph6 format

-z : Make digraph versions and write in digraph6 format

-d : Write in dreadnaut format (can be used with -z)

-v : For each graph, report the size to stderr

-q : Suppress summary

## Special Options:¶

If defined, the digraph version is shown in parentheses; # size parameter called n in the descriptions.
: path (directed path) on n vertices.
: cycle (directed cycle) on n vertices.
: empty graph (digraph with loops only) on n vertices.
: complete graph (with loops) on n vertices

-b#,#[,#] : complete bipartite graph (directed l->r) on n vertices

minus a matching of given size if present
: flower snark on 4*# vertices

-P#,# : generalized Petersen graph; usual one is -P5,2

: hypercube on 2^n vertices and degree n.

-J#,# : Johnson graph J(n,k), args are n and k.

-C#[,#] : circulant (di)graph.

-T#[,#] : theta (di)graph Theta(#,#,...), give path lengths.

-G#[,#] : (directed) grid, use negative values for open directions

Any number of graphs can be generated at once.
 July 2022 nauty 2.7.4