algorithm - Find the minimize maximum weights in weighted graph using dynamic programming -

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i'm looking algorithm finds path 2 vertices s t, in graph has k edges if paths exist.

and if multiple paths found, 1 minimum maximum weights of single edge preferred. (not overall weights).

eg: k = 5

path 1: s - - b - c - d - t weights 1 - 1 - 1 - 10 - 1

the maximum weight of path 1 10

path 2: s - x - y - z - w - t weights 7 - 9 - 8 - 6 - 7

the maximum weight of path 2 9, preferred.

how solve problem?

you use modified version of floyd-warshal algorithm iterates k steps , forces path lengths (by removing min part)


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