GVGEN(1)General Commands ManualGVGEN(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 ALSOgc(1),acyclic(1),gvpr(1),gvcolor(1),ccomps(1),sccmap(1),tred(1),libgraph(3)5 June 2012GVGEN(1)