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Graph Theory: What is the definition of the "Sorted Edge" algorithm?

By John Peck
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I've been googling for a while and can't find a clear definition of the "sorted edge" algorithm--can anyone provide it please?

A description would be helpful, but a simple statement of the algorithm may be sufficient.

Thank you.

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1 Answer

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The algorithm sorts the edges in ascending order by cost. You choose edges in greedy order to create a path. So no three edges are incident to the same vertex, and you don't close the path to a circuit unless it is a Hamiltonian path.

This looks like a heuristic to solve the traveling salesman problem based on Kruskal's algorithm.

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