# 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.

```

#### EXITSTATUS

```   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>

```

#### SEEALSO

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

5 June 2012                         GVGEN(1)
```

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