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- {\magonebf 5.13 Miscellaneous}
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- {\bf 5.13.1 Some useful functions}
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- \+$void$ complete\_graph($graph\&\ G,\ int\ n$) &\cr
- \+ &creates a complete graph $G$ with $n$ nodes.\cr
- \+\cr
- \+$void$ random\_graph($graph\&\ G,\ int\ n,\ int\ m$)\cr
- \+ &creates a random graph $G$ with $n$ nodes\cr
- \+ &and $m$ edges.\cr
- \+\cr
- \+$void$ test\_graph($graph\&\ G$)
- &creates interactively a user defined graph $G$.\cr
- \+\cr
- \+$void$ test\_bigraph($graph\&\ G,\ nodelist\&\ A,\ nodelist\&\ B$)\cr
- \+ &creates interactively a user defined bipartite\cr
- \+ &graph $G$ with sides $A$ and $B$. All edges are\cr
- \+ &directed from $A$ to $B$.\cr
- \+\cr
- \+$bool$ compute\_correspondence($graph\&\ G,\ edge\_array(edge)\&\ reversal$)\cr
- \+ &computes for every edge $e = (v,w)$ in $G$ its\cr
- \+ &reversal $reversal[e] = (w,v)$ in $G$ ( nil if\cr
- \+ ¬ present). Returns true if every edge has a\cr
- \+ &reversal and false otherwise.\cr
- \+\cr
- \+$void$ eliminate\_parallel\_edges($graph\&\ G$)\cr
- \+ &removes all parallel edges from $G$.\cr
- \+\cr
- \+$void$ cmdline\_graph($graph\&\ G$,\ int\ argc,\ char**\ argv)\cr
- \+ &builds graph $G$ as specified by the command line\cr
- \+ &arguments:\cr
- \+ &prog \hskip 2cm &$\longrightarrow$ test\_graph()\cr
- \+ &prog $n$ &$\longrightarrow$ complete\_graph($n$)\cr
- \+ &prog $n$ $m$ &$\longrightarrow$ test\_graph($n,m$)\cr
- \+ &prog $file$ &$\longrightarrow$ $G$.read\_graph($file$)\cr
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