Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300553673> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W4300553673 abstract "This paper shows the weighted matching problem on general graphs can be solved in time $O(n(m + nlog n))$ for $n$ and $m$ the number of vertices and edges, respectively. This was previously known only for bipartite graphs. The crux is a data structure for blossom creation. It uses a dynamic nearest-common-ancestor algorithm to simplify blossom steps, so they involve only back edges rather than arbitrary nontree edges. The rest of the paper presents direct extensions of Edmonds' blossom algorithm to weighted $b$-matching and $f$-factors. Again the time bound is the one previously known for bipartite graphs: for $b$-matching the time is $O(min{b(V),nlog n}(m + nlog n))$ and for $f$-factors the time is $O(min{f(V),mlog n}( m + nlog n) )$, where $b(V)$ and $f(V)$ denote the sum of all degree constraints. Several immediate applications of the $f$-factor algorithm are given: The generalized shortest path structure of cite{GS13}, i.e., the analog of the shortest path tree for conservative undirected graphs, is shown to be a version of the blossom structure for $f$-factors. This structure is found in time $O(|N|(m+nlog n))$ for $N$ the set of negative edges ($0<|N|<n$). A shortest $T$-join is found in time $O(n(m+nlog n))$, or $O(|T|(m+nlog n))$ when all costs are nonnegative. These bounds are all slight improvements of previously known ones, and are simply achieved by proper initialization of the $f$-factor algorithm." @default.
- W4300553673 created "2022-10-03" @default.
- W4300553673 creator A5001013961 @default.
- W4300553673 date "2016-11-22" @default.
- W4300553673 modified "2023-10-01" @default.
- W4300553673 title "Data Structures for Weighted Matching and Extensions to $b$-matching and $f$-factors" @default.
- W4300553673 doi "https://doi.org/10.48550/arxiv.1611.07541" @default.
- W4300553673 hasPublicationYear "2016" @default.
- W4300553673 type Work @default.
- W4300553673 citedByCount "0" @default.
- W4300553673 crossrefType "posted-content" @default.
- W4300553673 hasAuthorship W4300553673A5001013961 @default.
- W4300553673 hasBestOaLocation W43005536731 @default.
- W4300553673 hasConcept C105795698 @default.
- W4300553673 hasConcept C113174947 @default.
- W4300553673 hasConcept C114614502 @default.
- W4300553673 hasConcept C118615104 @default.
- W4300553673 hasConcept C121332964 @default.
- W4300553673 hasConcept C132525143 @default.
- W4300553673 hasConcept C134306372 @default.
- W4300553673 hasConcept C165064840 @default.
- W4300553673 hasConcept C197657726 @default.
- W4300553673 hasConcept C199360897 @default.
- W4300553673 hasConcept C22590252 @default.
- W4300553673 hasConcept C24890656 @default.
- W4300553673 hasConcept C2775997480 @default.
- W4300553673 hasConcept C2777735758 @default.
- W4300553673 hasConcept C311688 @default.
- W4300553673 hasConcept C33923547 @default.
- W4300553673 hasConcept C41008148 @default.
- W4300553673 hasConcept C63553672 @default.
- W4300553673 hasConcept C77553402 @default.
- W4300553673 hasConceptScore W4300553673C105795698 @default.
- W4300553673 hasConceptScore W4300553673C113174947 @default.
- W4300553673 hasConceptScore W4300553673C114614502 @default.
- W4300553673 hasConceptScore W4300553673C118615104 @default.
- W4300553673 hasConceptScore W4300553673C121332964 @default.
- W4300553673 hasConceptScore W4300553673C132525143 @default.
- W4300553673 hasConceptScore W4300553673C134306372 @default.
- W4300553673 hasConceptScore W4300553673C165064840 @default.
- W4300553673 hasConceptScore W4300553673C197657726 @default.
- W4300553673 hasConceptScore W4300553673C199360897 @default.
- W4300553673 hasConceptScore W4300553673C22590252 @default.
- W4300553673 hasConceptScore W4300553673C24890656 @default.
- W4300553673 hasConceptScore W4300553673C2775997480 @default.
- W4300553673 hasConceptScore W4300553673C2777735758 @default.
- W4300553673 hasConceptScore W4300553673C311688 @default.
- W4300553673 hasConceptScore W4300553673C33923547 @default.
- W4300553673 hasConceptScore W4300553673C41008148 @default.
- W4300553673 hasConceptScore W4300553673C63553672 @default.
- W4300553673 hasConceptScore W4300553673C77553402 @default.
- W4300553673 hasLocation W43005536731 @default.
- W4300553673 hasOpenAccess W4300553673 @default.
- W4300553673 hasPrimaryLocation W43005536731 @default.
- W4300553673 hasRelatedWork W172120053 @default.
- W4300553673 hasRelatedWork W2579720493 @default.
- W4300553673 hasRelatedWork W2798321768 @default.
- W4300553673 hasRelatedWork W2888804031 @default.
- W4300553673 hasRelatedWork W2951106886 @default.
- W4300553673 hasRelatedWork W2963452919 @default.
- W4300553673 hasRelatedWork W4299577021 @default.
- W4300553673 hasRelatedWork W4300553673 @default.
- W4300553673 hasRelatedWork W4361204940 @default.
- W4300553673 hasRelatedWork W3046783344 @default.
- W4300553673 isParatext "false" @default.
- W4300553673 isRetracted "false" @default.
- W4300553673 workType "article" @default.