Dalisyron's blog

A problem about weighted graphs
By Dalisyron, history, 11 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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11 years ago, hide # |
 
Vote: I like it +6 Vote: I do not like it

constraints?

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11 years ago, hide # |
 
Vote: I like it -14 Vote: I do not like it

easi task

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

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    11 years ago, hide # ^ |
     
    Vote: I like it +9 Vote: I do not like it

    I've never heard of BFS on weighted graph ... how would that be done ?

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      11 years ago, hide # ^ |
       
      Vote: I like it 0 Vote: I do not like it

      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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11 years ago, hide # |
 
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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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