gvgen(1)
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.
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.