FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100139999> ?p ?o ?g. }

• W3100139999 abstract "In the decremental single-source shortest paths (SSSP) problem we want to maintain the distances between a given source node $s$ and every other node in an $n$-node $m$-edge graph $G$ undergoing edge deletions. While its static counterpart can be solved in near-linear time, this decremental problem is much more challenging even in the undirected unweighted case. In this case, the classic $O(mn)$ total update time of Even and Shiloach [JACM 1981] has been the fastest known algorithm for three decades. At the cost of a $(1+epsilon)$-approximation factor, the running time was recently improved to $n^{2+o(1)}$ by Bernstein and Roditty [SODA 2011]. In this paper, we bring the running time down to near-linear: We give a $(1+epsilon)$-approximation algorithm with $m^{1+o(1)}$ expected total update time, thus obtaining near-linear time. Moreover, we obtain $m^{1+o(1)} log W$ time for the weighted case, where the edge weights are integers from $1$ to $W$. The only prior work on weighted graphs in $o(m n)$ time is the $m n^{0.9 + o(1)}$-time algorithm by Henzinger et al. [STOC 2014, ICALP 2015] which works for directed graphs with quasi-polynomial edge weights. The expected running time bound of our algorithm holds against an oblivious adversary. In contrast to the previous results which rely on maintaining a sparse emulator, our algorithm relies on maintaining a so-called sparse $(h, epsilon)$-hop set introduced by Cohen [JACM 2000] in the PRAM literature. An $(h, epsilon)$-hop set of a graph $G=(V, E)$ is a set $F$ of weighted edges such that the distance between any pair of nodes in $G$ can be $(1+epsilon)$-approximated by their $h$-hop distance (given by a path containing at most $h$ edges) on $G'=(V, Ecup F)$. Our algorithm can maintain an $(n^{o(1)}, epsilon)$-hop set of near-linear size in near-linear time under edge deletions." @default.
• W3100139999 created "2020-11-23" @default.
• W3100139999 creator A5003641345 @default.
• W3100139999 creator A5053481668 @default.
• W3100139999 creator A5074369690 @default.
• W3100139999 date "2014-10-01" @default.
• W3100139999 modified "2023-10-07" @default.
• W3100139999 title "Decremental Single-Source Shortest Paths on Undirected Graphs in Near-Linear Total Update Time" @default.
• W3100139999 cites W1554407673 @default.
• W3100139999 cites W1564010364 @default.
• W3100139999 cites W1975344016 @default.
• W3100139999 cites W1999545213 @default.
• W3100139999 cites W2015725509 @default.
• W3100139999 cites W2027018686 @default.
• W3100139999 cites W2038084411 @default.
• W3100139999 cites W2039303552 @default.
• W3100139999 cites W2045446569 @default.
• W3100139999 cites W2084803275 @default.
• W3100139999 cites W2085630237 @default.
• W3100139999 cites W2085849292 @default.
• W3100139999 cites W2097490969 @default.
• W3100139999 cites W2116633957 @default.
• W3100139999 cites W2146507303 @default.
• W3100139999 cites W2156431918 @default.
• W3100139999 cites W4231289837 @default.
• W3100139999 cites W4239180782 @default.
• W3100139999 cites W4250700905 @default.
• W3100139999 doi "https://doi.org/10.1109/focs.2014.24" @default.
• W3100139999 hasPublicationYear "2014" @default.
• W3100139999 type Work @default.
• W3100139999 sameAs 3100139999 @default.
• W3100139999 citedByCount "27" @default.
• W3100139999 countsByYear W31001399992015 @default.
• W3100139999 countsByYear W31001399992016 @default.
• W3100139999 countsByYear W31001399992017 @default.
• W3100139999 countsByYear W31001399992018 @default.
• W3100139999 countsByYear W31001399992019 @default.
• W3100139999 countsByYear W31001399992020 @default.
• W3100139999 countsByYear W31001399992022 @default.
• W3100139999 crossrefType "proceedings-article" @default.
• W3100139999 hasAuthorship W3100139999A5003641345 @default.
• W3100139999 hasAuthorship W3100139999A5053481668 @default.
• W3100139999 hasAuthorship W3100139999A5074369690 @default.
• W3100139999 hasBestOaLocation W31001399992 @default.
• W3100139999 hasConcept C11413529 @default.
• W3100139999 hasConcept C114614502 @default.
• W3100139999 hasConcept C118615104 @default.
• W3100139999 hasConcept C127413603 @default.
• W3100139999 hasConcept C132525143 @default.
• W3100139999 hasConcept C145691206 @default.
• W3100139999 hasConcept C148764684 @default.
• W3100139999 hasConcept C162307627 @default.
• W3100139999 hasConcept C3017489831 @default.
• W3100139999 hasConcept C3018234147 @default.
• W3100139999 hasConcept C311688 @default.
• W3100139999 hasConcept C33923547 @default.
• W3100139999 hasConcept C41008148 @default.
• W3100139999 hasConcept C62611344 @default.
• W3100139999 hasConcept C63553672 @default.
• W3100139999 hasConcept C66938386 @default.
• W3100139999 hasConcept C76155785 @default.
• W3100139999 hasConceptScore W3100139999C11413529 @default.
• W3100139999 hasConceptScore W3100139999C114614502 @default.
• W3100139999 hasConceptScore W3100139999C118615104 @default.
• W3100139999 hasConceptScore W3100139999C127413603 @default.
• W3100139999 hasConceptScore W3100139999C132525143 @default.
• W3100139999 hasConceptScore W3100139999C145691206 @default.
• W3100139999 hasConceptScore W3100139999C148764684 @default.
• W3100139999 hasConceptScore W3100139999C162307627 @default.
• W3100139999 hasConceptScore W3100139999C3017489831 @default.
• W3100139999 hasConceptScore W3100139999C3018234147 @default.
• W3100139999 hasConceptScore W3100139999C311688 @default.
• W3100139999 hasConceptScore W3100139999C33923547 @default.
• W3100139999 hasConceptScore W3100139999C41008148 @default.
• W3100139999 hasConceptScore W3100139999C62611344 @default.
• W3100139999 hasConceptScore W3100139999C63553672 @default.
• W3100139999 hasConceptScore W3100139999C66938386 @default.
• W3100139999 hasConceptScore W3100139999C76155785 @default.
• W3100139999 hasLocation W31001399991 @default.
• W3100139999 hasLocation W31001399992 @default.
• W3100139999 hasOpenAccess W3100139999 @default.
• W3100139999 hasPrimaryLocation W31001399991 @default.
• W3100139999 hasRelatedWork W1447961680 @default.
• W3100139999 hasRelatedWork W1604162242 @default.
• W3100139999 hasRelatedWork W1637162813 @default.
• W3100139999 hasRelatedWork W1699057733 @default.
• W3100139999 hasRelatedWork W1915280757 @default.
• W3100139999 hasRelatedWork W2900627138 @default.
• W3100139999 hasRelatedWork W2963352410 @default.
• W3100139999 hasRelatedWork W3100139999 @default.
• W3100139999 hasRelatedWork W4297688303 @default.
• W3100139999 hasRelatedWork W4313227037 @default.
• W3100139999 isParatext "false" @default.
• W3100139999 isRetracted "false" @default.
• W3100139999 magId "3100139999" @default.
• W3100139999 workType "article" @default.