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josch 2012-07-04 14:07:44 +02:00
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Finding all the elementary circuits of a directed graph
-------------------------------------------------------
Algorithm by R. Tarjan
Enumeration of the elementary circuits of a directed graph
R. Tarjan, SIAM Journal on Computing, 2 (1973), pp. 211-216
http://dx.doi.org/10.1137/0202017
Usage
-----
python cycles.py 4 0,1 0,2 1,0 1,3 2,0 3,0 3,1 3,2
First argument is the number of vertices. Subsequent arguments are ordered
pairs of comma separated vertices that make up the directed edges of the
graph.
DOT file input
--------------
For simplicity, there is no DOT file parser included but the following allows
to create a suitable argument string for simple DOT graphs.
Given a DOT file of a simple (no labels, colors, styles, only pairs of
vertices...) directed graph, the following line produces commandline
arguments in the above format for that graph.
echo `sed -n -e '/^\s*[0-9]\+;$/p' graph.dot | wc -l` `sed -n -e 's/^\s*\([0-9]\) -> \([0-9]\);$/\1,\2/p' graph.dot`
The above line works on DOT files like the following:
digraph G {
0;
1;
2;
0 -> 1;
0 -> 2;
1 -> 0;
2 -> 0;
2 -> 1;
}
It would produce the following output:
3 0,1 0,2 1,0 2,0 2,1