A problem I can't solve

Revision en5, by sys., 2019-07-14 06:16:40

One day when I had my math class,I came up with an idea.But I found that I can't solve it.

After class I asked many people but they did't solve it too.

Here's the problem:

You are given a undirected weighted graph with n nodes and m edges.

You need to find a simple path from 1 to n to maximize the maximum value of edges in the path minus the minimum one.

A simple path means that you can't pass through one edge twice or more.

(I don't know how large n,m can be)

Update:Thanks to TimonKnigge,we can solve it in $$$O(m^2 \times n^3)$$$

History

 
 
 
 
Revisions
 
 
  Rev. Lang. By When Δ Comment
en5 English sys. 2019-07-14 06:16:40 92
en4 English sys. 2019-07-13 11:43:16 91 Tiny change: 'logmlogmax_Value)$' -> 'logmlogmaxValue)$'
en3 English sys. 2019-07-12 19:42:35 76
en2 English sys. 2019-07-12 10:30:49 5 Tiny change: 'n to maximum the maxim' -> 'n to maximize the maxim'
en1 English sys. 2019-07-12 10:30:23 506 Initial revision (published)