2-sensitive (7/5)-approximate st-shortest paths (Shortest Path (Directed Graphs))

Description

Approximate the st-shortest paths problem within a factor of 7/5 with a sensitivity of 2.

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, 1-sensitive decremental st-shortest paths, 2-sensitive decremental st-shortest paths, Replacement Paths Problem

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.

Reductions FROM Problem

Problem	Implication	Year	Citation	Reduction
BMM	assume: BMM then: combinatorial algorithms cannot solve target with preprocessing time $O(n^{3-\epsilon})$, and update and query times $O(n^{2-\epsilon})$ for any $\epsilon > {0}$ in undirected unweighted graphs	2017	https://arxiv.org/pdf/1703.01638.pdf	link