Dalisyron's blog

A problem about weighted graphs
By Dalisyron, history, 8 years ago, In English

Problem :

Given a weighted directed graph with both negative and positive edges, Find a path from vertex 1 to n, in which minimum subpath weight(starting from vertex 1) is maximum.

I can't think of any graph algorithm that can help me solve this problem, so any suggestions are appreciated.

N<=500

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8 years ago, # |
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constraints?

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8 years ago, # |
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easi task

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8 years ago, # |
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Binary search for the answer plus BFS to check if it's possible. Details: think.

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    8 years ago, # ^ |
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    I've never heard of BFS on weighted graph ... how would that be done ?

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      8 years ago, # ^ |
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      I parsed "subpath" as "edge"...

      If they're paths from vertex 1, it's modified Dijkstra (you only have to ignore possible paths with length < checked answer).

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        8 years ago, # ^ |
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        I used a combination of Dijkstra & DP and it worked. Thank You Xellos

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8 years ago, # |
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Could you please post the question link? I would like to solve it too.

Thanks in advance :)

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