1-sensitive incremental ss-reach: Difference between revisions
Jump to navigation
Jump to search
(Created page with "{{DISPLAYTITLE:1-sensitive incremental ss-reach (Vertex Reachability)}} == Description == Given a directed graph $G=(V,E)$ and a source node $s \in G$, an incremental single-source reachability algorithm maintains the set of nodes reachable from $s$ (i.e., all nodes $v$ for which there is a path from $s$ to $v$ in the current version of $G$) during a sequence of edge insertions, with sensitivity 1, i.e. when 1 edge is inserted. == Related Problems == Generalizations...") |
No edit summary |
||
| (One intermediate revision by the same user not shown) | |||
| Line 12: | Line 12: | ||
== Parameters == | == Parameters == | ||
$n$: number of vertices | |||
m: number of edges | |||
$m$: number of edges | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Latest revision as of 08:28, 10 April 2023
Description
Given a directed graph $G=(V,E)$ and a source node $s \in G$, an incremental single-source reachability algorithm maintains the set of nodes reachable from $s$ (i.e., all nodes $v$ for which there is a path from $s$ to $v$ in the current version of $G$) during a sequence of edge insertions, with sensitivity 1, i.e. when 1 edge is inserted.
Related Problems
Generalizations: st-Reach
Related: #SSR, sensitive incremental #SSR, ST-Reach, constant sensitivity incremental ST-Reach, 2-sensitive incremental st-reach, ap-reach
Parameters
$n$: number of vertices
$m$: number of edges
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 $\epsilon > {0}$ |
2017 | https://arxiv.org/pdf/1703.01638.pdf | link |