Matches in SemOpenAlex for { <https://semopenalex.org/work/W1577694003> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W1577694003 endingPage "265" @default.
- W1577694003 startingPage "254" @default.
- W1577694003 abstract "Given an undirected graph G = (V,E) and subset of terminals T ⊆ V, the element-connectivity κ′ G (u,v) of two terminals u,v ∈ T is the maximum number of u-v paths that are pairwise disjoint in both edges and non-terminals V ∖ T (the paths need not be disjoint in terminals). Element-connectivity is more general than edge-connectivity and less general than vertex-connectivity. Hind and Oellermann [18] gave a graph reduction step that preserves the global element-connectivity of the graph. We show that this step also preserves local connectivity, that is, all the pairwise element-connectivities of the terminals. We give two applications of the step to connectivity and network design problems: First, we show a polylogarithmic approximation for the problem of packing element-disjoint Steiner forests in general graphs, and an O(1)-approximation in planar graphs. Second, we find a very short and intuitive proof of a spider-decomposition theorem of Chuzhoy and Khanna [10] in the context of the single-sink k-vertex-connectivity problem. Our results highlight the effectiveness of the element-connectivity reduction step; we believe it will find more applications in the future." @default.
- W1577694003 created "2016-06-24" @default.
- W1577694003 creator A5009276272 @default.
- W1577694003 creator A5036503505 @default.
- W1577694003 date "2009-01-01" @default.
- W1577694003 modified "2023-10-17" @default.
- W1577694003 title "A Graph Reduction Step Preserving Element-Connectivity and Applications" @default.
- W1577694003 cites W1483101602 @default.
- W1577694003 cites W1515157528 @default.
- W1577694003 cites W1567063736 @default.
- W1577694003 cites W1786780942 @default.
- W1577694003 cites W1968690018 @default.
- W1577694003 cites W1976459503 @default.
- W1577694003 cites W1986334784 @default.
- W1577694003 cites W1992520347 @default.
- W1577694003 cites W2016764804 @default.
- W1577694003 cites W2049513883 @default.
- W1577694003 cites W2052687843 @default.
- W1577694003 cites W2052964302 @default.
- W1577694003 cites W2056643949 @default.
- W1577694003 cites W2097945626 @default.
- W1577694003 cites W2121085314 @default.
- W1577694003 cites W2135211390 @default.
- W1577694003 cites W2142756199 @default.
- W1577694003 cites W2154295079 @default.
- W1577694003 cites W2162517951 @default.
- W1577694003 cites W2167374893 @default.
- W1577694003 cites W2167621755 @default.
- W1577694003 cites W2172955861 @default.
- W1577694003 cites W2977555790 @default.
- W1577694003 cites W3083181187 @default.
- W1577694003 cites W4367329880 @default.
- W1577694003 doi "https://doi.org/10.1007/978-3-642-02927-1_22" @default.
- W1577694003 hasPublicationYear "2009" @default.
- W1577694003 type Work @default.
- W1577694003 sameAs 1577694003 @default.
- W1577694003 citedByCount "24" @default.
- W1577694003 countsByYear W15776940032012 @default.
- W1577694003 countsByYear W15776940032013 @default.
- W1577694003 countsByYear W15776940032014 @default.
- W1577694003 countsByYear W15776940032015 @default.
- W1577694003 countsByYear W15776940032016 @default.
- W1577694003 countsByYear W15776940032017 @default.
- W1577694003 countsByYear W15776940032018 @default.
- W1577694003 countsByYear W15776940032021 @default.
- W1577694003 countsByYear W15776940032022 @default.
- W1577694003 countsByYear W15776940032023 @default.
- W1577694003 crossrefType "book-chapter" @default.
- W1577694003 hasAuthorship W1577694003A5009276272 @default.
- W1577694003 hasAuthorship W1577694003A5036503505 @default.
- W1577694003 hasBestOaLocation W15776940032 @default.
- W1577694003 hasConcept C105795698 @default.
- W1577694003 hasConcept C114614502 @default.
- W1577694003 hasConcept C118615104 @default.
- W1577694003 hasConcept C132525143 @default.
- W1577694003 hasConcept C17744445 @default.
- W1577694003 hasConcept C184898388 @default.
- W1577694003 hasConcept C199539241 @default.
- W1577694003 hasConcept C200288055 @default.
- W1577694003 hasConcept C33923547 @default.
- W1577694003 hasConcept C41008148 @default.
- W1577694003 hasConcept C45340560 @default.
- W1577694003 hasConcept C80899671 @default.
- W1577694003 hasConceptScore W1577694003C105795698 @default.
- W1577694003 hasConceptScore W1577694003C114614502 @default.
- W1577694003 hasConceptScore W1577694003C118615104 @default.
- W1577694003 hasConceptScore W1577694003C132525143 @default.
- W1577694003 hasConceptScore W1577694003C17744445 @default.
- W1577694003 hasConceptScore W1577694003C184898388 @default.
- W1577694003 hasConceptScore W1577694003C199539241 @default.
- W1577694003 hasConceptScore W1577694003C200288055 @default.
- W1577694003 hasConceptScore W1577694003C33923547 @default.
- W1577694003 hasConceptScore W1577694003C41008148 @default.
- W1577694003 hasConceptScore W1577694003C45340560 @default.
- W1577694003 hasConceptScore W1577694003C80899671 @default.
- W1577694003 hasLocation W15776940031 @default.
- W1577694003 hasLocation W15776940032 @default.
- W1577694003 hasLocation W15776940033 @default.
- W1577694003 hasOpenAccess W1577694003 @default.
- W1577694003 hasPrimaryLocation W15776940031 @default.
- W1577694003 hasRelatedWork W1985701647 @default.
- W1577694003 hasRelatedWork W1997341083 @default.
- W1577694003 hasRelatedWork W2031536548 @default.
- W1577694003 hasRelatedWork W2365230865 @default.
- W1577694003 hasRelatedWork W2951456395 @default.
- W1577694003 hasRelatedWork W3007733457 @default.
- W1577694003 hasRelatedWork W3164898278 @default.
- W1577694003 hasRelatedWork W4240096048 @default.
- W1577694003 hasRelatedWork W4282568420 @default.
- W1577694003 hasRelatedWork W4319988133 @default.
- W1577694003 isParatext "false" @default.
- W1577694003 isRetracted "false" @default.
- W1577694003 magId "1577694003" @default.
- W1577694003 workType "book-chapter" @default.