Is there an algorithm that will allow me to traverse a weighted graph in the following manner?
- Start at a specific node
- Go through all vertecies in the graph
- Do this in the least amount of time (weights are times)
- End up at the starting node
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Sounds like the Travelling Salesman Problem to me. An NP-hard problem. There is no polynomial time algorithm that will give you the optimum solution. You could use a search heuristic to get a close to optimal solution though.