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how to find the minimum weighted cycle containing two given nodes in a weighted using 'algorithm,graph,cycle,shortestpath'
how to find the minimum weighted cycle containing two given nodes in a weighted Â using 'algorithm,graph,cycle,shortestpath'
Given a weighted undirected graph G = (V, E) and a set of nodes P.
Given two nodes, n1 and n2.
I want to find two separate (nonoverlapping) paths from n1 to n2, so that the sum of the weights of the two paths is minimum. And I paraphrase the problem to what the title describes, that is the minimum weighted cycle containing n1 and n2.
Obviously it's not correct to find a first minimum weighted path p1 from n1 to n2 and then remove the edges in p1 from the graph and then find a second minimum weighted path p2.
How can I find such a cycle?
Â Â Â Â
algorithm
graph
cycle
shortestpath
asked
Sep 7, 2015
by
rajesh
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