.\" DO NOT MODIFY THIS FILE! It was generated by help2man 1.49.3. .TH NAUTY-GENSPECIALG "1" "April 2024" "nauty 2.8.8" "Nauty Manual" .SH NAME nauty-genspecialg \- generate special graphs .SH SYNOPSIS .B genspecialg [\fI\,-s|-g|-z|-d|-v\/\fR] [\fI\,-q\/\fR] [\fI\,graph options\/\fR]... [\fI\,outfile\/\fR] .SH DESCRIPTION .IP Generate special graphs. .SH OPTIONS .SS "General Options:" .HP \fB\-s\fR : Write in sparse6 format (default) .HP \fB\-g\fR : Write in graph6 format .HP \fB\-z\fR : Make digraph versions and write in digraph6 format .HP \fB\-d\fR : Write in dreadnaut format (can be used with \fB\-z\fR) .HP \fB\-v\fR : For each graph, report the size to stderr .HP \fB\-q\fR : Suppress summary .SS "Special Options:" .IP If defined, the digraph version is shown in parentheses; # size parameter called n in the descriptions. .TP \fB\-p\fR# : path (directed path) on n vertices .TP \fB\-c\fR# : cycle (directed cycle) on n vertices .TP \fB\-e\fR# : empty graph (digraph with loops only) on n vertices .TP \fB\-k\fR# : complete graph (with loops) on n vertices .HP \fB\-b\fR#,#[,#] : complete bipartite graph (directed l\->r) on n vertices .IP minus a matching of given size if present .HP \fB\-m\fR#,#... : multipartite graph .TP \fB\-a\fR# : antiprism (directed antiprism) on 2n .TP \fB\-l\fR# : moebius ladder (directed cycle, undirected rungs) with # rungs .HP \fB\-D\fR#,# : de Bruijn graph (digraph). D(m,t) has order m^t .TP \fB\-w\fR# : wheel with # spokes (directed out from hub) .TP \fB\-f\fR# : flower snark on 4n vertices .TP \fB\-L\fR# : triangular graph, the linegraph of K_n .HP \fB\-P\fR#,# : generalized Petersen graph; usual one is \fB\-P5\fR,2 .TP \fB\-Q\fR# \fB\-Q\fR#,# : hypercube on 2^n vertices. Q(n,t) has vertices {0,1}^n and edges for hamming distance t. t=1 is default. .TP \fB\-A\fR# : connected antiregular graph on n vertices .HP \fB\-J\fR#,# : Johnson graph J(n,k), args are n and k .HP \fB\-K\fR#,# \fB\-K\fR#,#,# : Generalized Kneser graph. K(n,k,t) is graph of k\-subsets .IP of an n\-set whose intersection is t. Default for t is 0. .HP \fB\-C\fR#[,#] : circulant (di)graph; first arg is the number of vertices .HP \fB\-T\fR#[,#] : theta (di)graph Theta(#,#,...), give path lengths .HP \fB\-G\fR#[,#] : (directed) grid, use negative values for open directions .TP \fB\-Y\fR# : Paley graph or digraph, depending on size. Nondeterministic. .HP \fB\-X\fR# : produce a named graph, # can be an index or a partial name. .IP Use genspecialg \fB\-\-Xhelp\fR for a list. .IP Any number of graphs can be generated at once.