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NAME

       gvgen - generate graphs

SYNOPSIS

       gvgen  [  -d?   ] [ -cn ] [ -Cx,y ] [ -g[f]x,y ] [ -G[f]x,y ] [ -hn ] [
       -kn ] [ -bx,y ] [ -pn ] [ -sn ] [ -Sn ] [ -tn ] [ -Tx,y ]  [  -wn  ]  [
       -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.

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

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

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

       -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.

       -?     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)

                                 27 March 2008                           GC(1)