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Home/ Questions/Q 397573
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Editorial Team
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Editorial Team
Asked: May 12, 20262026-05-12T16:39:48+00:00 2026-05-12T16:39:48+00:00

I am looking to discuss branch and bound solution for TSP with multiple visits.(that

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I am looking to discuss branch and bound solution for TSP with multiple visits.(that is every city needs to be visited atleast once , instead of just once)

Edit:

Removed the doubt as it was not relevant as pointed by Jitse. Now the question is more clear.

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  1. Editorial Team
    Editorial Team
    2026-05-12T16:39:49+00:00Added an answer on May 12, 2026 at 4:39 pm

    Simply augment the graph by adding, for each pair of nodes A and B, an edge representing the shortest path from A to B. The Floyd-Warshall algorithm allows you to do this in O(n^3), which is much faster than any TSP algorithm. Once you’ve done this, use a standard TSP branch and bound technique. This site has some information from Applegate’s book, which discusses branch and bound for TSP according to the Wikipedia TSP entry.

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