GVGEN(1)						      General Commands Manual							  GVGEN(1)

NAME

       gvgen - generate graphs

SYNOPSIS

       gvgen [ -dV?  ] [ -in ] [ -cn ] [ -Cx,y ] [ -g[f]x,y ] [ -G[f]x,y ] [ -hn ] [ -kn ] [ -bx,y ] [ -Bx,y ] [ -mn ] [ -Mx,y ] [ -pn ] [ -rx,y ]
       [ -Rx ] [ -sn ] [ -Sn ] [ -tn ] [ -td,n ] [ -Tx,y ] [ -Tx,y,u,v ] [ -wn ] [ -nprefix ] [ -Nname ] [ -ooutfile ]

DESCRIPTION

       gvgen generates a variety of simple, regularly-structured abstract graphs.

OPTIONS

       The following options are supported:

       -c n   Generate a cycle with n vertices and edges.

       -C x,y Generate an x by y cylinder.  This will have x*y vertices and 2*x*y - y edges.

       -g [f]x,y
	      Generate an x by y grid.	If f is given, the grid is folded, with an edge attaching each pair of	opposing  corner  vertices.   This
	      will have x*y vertices and 2*x*y - y - x edges if unfolded and 2*x*y - y - x + 2 edges if folded.

       -G [f]x,y
	      Generate	an  x by y partial grid.  If f is given, the grid is folded, with an edge attaching each pair of opposing corner vertices.
	      This will have x*y vertices.

       -h n   Generate a hypercube of degree n.  This will have 2^n vertices and n*2^(n-1) edges.

       -k n   Generate a complete graph on n vertices with n*(n-1)/2 edges.

       -b x,y Generate a complete x by y bipartite graph.  This will have x+y vertices and x*y edges.

       -B x,y Generate an x by y ball, i.e., an x by y cylinder with two "cap" nodes closing the ends.	This will have x*y + 2 vertices and  2*x*y
	      + y edges.

       -m n   Generate a triangular mesh with n vertices on a side.  This will have (n+1)*n/2 vertices and 3*(n-1)*n/2 edges.

       -M x,y Generate an x by y Moebius strip.  This will have x*y vertices and 2*x*y - y edges.

       -p n   Generate a path on n vertices.  This will have n-1 edges.

       -r x,y Generate	a random graph.  The number of vertices will be the largest value of the form 2^n-1 less than or equal to x. Larger values
	      of y increase the density of the graph.

       -R x   Generate a random rooted tree on x vertices.

       -s n   Generate a star on n vertices.  This will have n-1 edges.

       -S n   Generate a Sierpinski graph of order n.  This will have 3*(3^(n-1) - 1)/2 vertices and 3^n edges.

       -t n   Generate a binary tree of height n.  This will have 2^n-1 vertices and 2^n-2 edges.

       -t h,n Generate a n-ary tree of height h.

       -T x,y

       -T x,y,u,v
	      Generate an x by y torus.  This will have x*y vertices and 2*x*y edges.  If u and v are given, they specify twists of that amount in
	      the horizontal and vertical directions, respectively.

       -w n   Generate a path on n vertices.  This will have n-1 edges.

       -i n   Generate n graphs of the requested type. At present, only available if the -R flag is used.

       -n prefix
	      Normally, integers are used as node names. If prefix is specified, this will be prepended to the integer to create the name.

       -N name
	      Use name as the name of the graph.  By default, the graph is anonymous.

       -o outfile
	      If specified, the generated graph is written into the file outfile.  Otherwise, the graph is written to standard out.

       -d     Make the generated graph directed.

       -V     Verbose output.

       -?     Print usage information.

EXIT STATUS

       gvgen  exits  with  0  on successful completion, and exits with 1 if given an ill-formed or incorrect flag, or if the specified output file
       could not be opened.

AUTHOR

       Emden R. Gansner <erg@research.att.com>

SEE ALSO

       gc(1), acyclic(1), gvpr(1), gvcolor(1), ccomps(1), sccmap(1), tred(1), libgraph(3)

								    5 June 2012 							  GVGEN(1)