Matches in SemOpenAlex for { <https://semopenalex.org/work/W2961819436> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2961819436 abstract "In the sensitive distance oracle problem, there are three phases. We first preprocess a given directed graph $G$ with $n$ nodes and integer weights from $[-W,W]$. Second, given a single batch of $f$ edge insertions and deletions, we update the data structure. Third, given a query pair of nodes $(u,v)$, return the distance from $u$ to $v$. In the easier problem called sensitive reachability oracle problem, we only ask if there exists a directed path from $u$ to $v$. Our first result is a sensitive distance oracle with $tilde{O}(Wn^{omega+(3-omega)mu})$ preprocessing time, $tilde{O}(Wn^{2-mu}f^{2}+Wnf^{omega})$ update time, and $tilde{O}(Wn^{2-mu}f+Wnf^{2})$ query time where the parameter $muin[0,1]$ can be chosen. The data-structure requires $O(Wn^{2+mu} log n)$ bits of memory. This is the first algorithm that can handle $fgelog n$ updates. Previous results (e.g. [Demetrescu et al. SICOMP'08; Bernstein and Karger SODA'08 and FOCS'09; Duan and Pettie SODA'09; Grandoni and Williams FOCS'12]) can handle at most 2 updates. When $3le flelog n$, the only non-trivial algorithm was by [Weimann and Yuster FOCS'10]. When $W=tilde{O}(1)$, our algorithm simultaneously improves their preprocessing time, update time, and query time. In particular, when $f=omega(1)$, their update and query time is $Omega(n^{2-o(1)})$, while our update and query time are truly subquadratic in $n$, i.e., ours is faster by a polynomial factor of $n$. To highlight the technique, ours is the first graph algorithm that exploits the kernel basis decomposition of polynomial matrices by [Jeannerod and Villard J.Comp'05; Zhou, Labahn and Storjohann J.Comp'15] developed in the symbolic computation community. [...]" @default.
- W2961819436 created "2019-07-23" @default.
- W2961819436 creator A5010547647 @default.
- W2961819436 creator A5054956160 @default.
- W2961819436 date "2019-07-18" @default.
- W2961819436 modified "2023-10-01" @default.
- W2961819436 title "Sensitive Distance and Reachability Oracles for Large Batch Updates" @default.
- W2961819436 cites W1577501260 @default.
- W2961819436 cites W1963633992 @default.
- W2961819436 cites W1989169588 @default.
- W2961819436 cites W1995653528 @default.
- W2961819436 cites W2031592993 @default.
- W2961819436 cites W2038073775 @default.
- W2961819436 cites W2083795876 @default.
- W2961819436 cites W2104025802 @default.
- W2961819436 cites W2107482418 @default.
- W2961819436 cites W2111379929 @default.
- W2961819436 cites W2117909275 @default.
- W2961819436 cites W2120248756 @default.
- W2961819436 cites W2121601357 @default.
- W2961819436 cites W2141257824 @default.
- W2961819436 cites W2165901913 @default.
- W2961819436 cites W2413699622 @default.
- W2961819436 cites W2569680519 @default.
- W2961819436 cites W2892948282 @default.
- W2961819436 cites W2945847545 @default.
- W2961819436 cites W2963694357 @default.
- W2961819436 cites W2963733895 @default.
- W2961819436 cites W2971415725 @default.
- W2961819436 hasPublicationYear "2019" @default.
- W2961819436 type Work @default.
- W2961819436 sameAs 2961819436 @default.
- W2961819436 citedByCount "1" @default.
- W2961819436 countsByYear W29618194362021 @default.
- W2961819436 crossrefType "posted-content" @default.
- W2961819436 hasAuthorship W2961819436A5010547647 @default.
- W2961819436 hasAuthorship W2961819436A5054956160 @default.
- W2961819436 hasConcept C11413529 @default.
- W2961819436 hasConcept C114614502 @default.
- W2961819436 hasConcept C115903868 @default.
- W2961819436 hasConcept C118615104 @default.
- W2961819436 hasConcept C121332964 @default.
- W2961819436 hasConcept C132525143 @default.
- W2961819436 hasConcept C136643341 @default.
- W2961819436 hasConcept C199360897 @default.
- W2961819436 hasConcept C2779557605 @default.
- W2961819436 hasConcept C311688 @default.
- W2961819436 hasConcept C33923547 @default.
- W2961819436 hasConcept C41008148 @default.
- W2961819436 hasConcept C55166926 @default.
- W2961819436 hasConcept C62520636 @default.
- W2961819436 hasConcept C63553672 @default.
- W2961819436 hasConcept C97137487 @default.
- W2961819436 hasConceptScore W2961819436C11413529 @default.
- W2961819436 hasConceptScore W2961819436C114614502 @default.
- W2961819436 hasConceptScore W2961819436C115903868 @default.
- W2961819436 hasConceptScore W2961819436C118615104 @default.
- W2961819436 hasConceptScore W2961819436C121332964 @default.
- W2961819436 hasConceptScore W2961819436C132525143 @default.
- W2961819436 hasConceptScore W2961819436C136643341 @default.
- W2961819436 hasConceptScore W2961819436C199360897 @default.
- W2961819436 hasConceptScore W2961819436C2779557605 @default.
- W2961819436 hasConceptScore W2961819436C311688 @default.
- W2961819436 hasConceptScore W2961819436C33923547 @default.
- W2961819436 hasConceptScore W2961819436C41008148 @default.
- W2961819436 hasConceptScore W2961819436C55166926 @default.
- W2961819436 hasConceptScore W2961819436C62520636 @default.
- W2961819436 hasConceptScore W2961819436C63553672 @default.
- W2961819436 hasConceptScore W2961819436C97137487 @default.
- W2961819436 hasLocation W29618194361 @default.
- W2961819436 hasOpenAccess W2961819436 @default.
- W2961819436 hasPrimaryLocation W29618194361 @default.
- W2961819436 hasRelatedWork W1575670726 @default.
- W2961819436 hasRelatedWork W2231838532 @default.
- W2961819436 hasRelatedWork W2401929940 @default.
- W2961819436 hasRelatedWork W2737298126 @default.
- W2961819436 hasRelatedWork W2883037415 @default.
- W2961819436 hasRelatedWork W2915689316 @default.
- W2961819436 hasRelatedWork W2950456228 @default.
- W2961819436 hasRelatedWork W2963219186 @default.
- W2961819436 hasRelatedWork W2971440960 @default.
- W2961819436 hasRelatedWork W2971957671 @default.
- W2961819436 hasRelatedWork W2996765263 @default.
- W2961819436 hasRelatedWork W3015560540 @default.
- W2961819436 hasRelatedWork W3017091341 @default.
- W2961819436 hasRelatedWork W3044798784 @default.
- W2961819436 hasRelatedWork W3084590431 @default.
- W2961819436 hasRelatedWork W3098654413 @default.
- W2961819436 hasRelatedWork W3181166125 @default.
- W2961819436 hasRelatedWork W3182800350 @default.
- W2961819436 hasRelatedWork W653534090 @default.
- W2961819436 hasRelatedWork W98454352 @default.
- W2961819436 isParatext "false" @default.
- W2961819436 isRetracted "false" @default.
- W2961819436 magId "2961819436" @default.
- W2961819436 workType "article" @default.