gvgen - generate graphs


   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 ]


   gvgen generates a  variety  of  simple,  regularly-structured  abstract


   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

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

   -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.


   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.


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


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

                              5 June 2012                         GVGEN(1)


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