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Count Loops in a Graph
by Joseph Kirk
Calculates the number of loops in a graph consisting of nodes and edges
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| Count Loops in a Graph |
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Calculates the number of loops in a graph consisting of nodes and edges
The code contained in these files counts the number of loops (cycles) in a network (graph) that consists of nodes and edges. The user can:
- Obtain a network (from a file or randomly generated)
- View the network (optional)
- Reduce the network (optional)
- View the reduced network (optional)
- Start the counting algorithm
- Save the network to a file (optional)
- Save the loops to a file (optional)
- View the loop length distribution (optional)
The algorithm used to count the loops is an iterative process I developed that I call the ILCA (Iterative Loop Counting Algorithm). It transforms the network into a tree and does a *depth first* search on the tree for loops. This is a *brute force* technique as there are no known (to my knowledge anyway) algorithms for providing a good estimation of the number of loops/cycles in a network/graph.
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