# Replacement Paths Problem (Shortest Path (Directed Graphs))

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## Description

Given nodes $s$ and $t$ in a weighted directed graph and a shortest path $P$ from $s$ to $t$, compute the length of the shortest simple path that avoids edge $e$, for all edges $e$ on $P$

## Related Problems

Generalizations: st-Shortest Path

Related: General Weights, Nonnegative Weights, Nonnegative Integer Weights, Second Shortest Simple Path, 1-sensitive (3/2)-approximate ss-shortest paths, 2-sensitive (7/5)-approximate st-shortest paths, 1-sensitive decremental st-shortest paths, 2-sensitive decremental st-shortest paths

## Parameters

$V$: number of vertices

$E$: number of edges

$L$: maximum absolute value of edge cost

## Table of Algorithms

Currently no algorithms in our database for the given problem.