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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 ] [ -Sn,d ] [ -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 ver-
	      tices.  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.

       -S n,d Generate a  d-dimensional	 Sierpinski  graph  of	order  n.   At
	      present,	d  must	 be  2	or 3.  For d equal to 3, there will be
	      4*(4^(n-1) + 1)/2	vertices and 6 * 4^(n-1) edges.

       -t n   Generate a binary	tree of	height n.  This	will have  2^n-1  ver-
	      tices 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	avail-
	      able if the -R flag is used.

       -n prefix
	      Normally,	integers are used as node names. If prefix  is	speci-
	      fied, 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  out-
	      file.  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)

NAME | SYNOPSIS | DESCRIPTION | OPTIONS | EXIT STATUS | AUTHOR | SEE ALSO

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