gvgen

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)