Matches in SemOpenAlex for { <https://semopenalex.org/work/W1520479211> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W1520479211 endingPage "325" @default.
- W1520479211 startingPage "313" @default.
- W1520479211 abstract "Given an undirected graph G and a positive integer k, the k-vertex-connectivity augmentation problem is to find a smallest set F of new edges for which G + F is k-vertex-connected. Polynomial algorithms for this problem are known only for k ≤ 4 and a major open question in graph connectivity is whether this problem is solvable in polynomial time in general. For arbitrary k, a previous result of Jordan [14] gives a polynomial algorithm which adds an augmenting set F of size at most k - 3 more than the optimum, provided G is (k - 1)-vertex-connected. In this paper we develop a polynomial algorithm which makes an l- connected graph G k-vertex-connected by adding an augmenting set of size at most ((k - l)(k - 1) + 4)=2 more than (a new lower bound for) the optimum. This extends the main results of [14,15]. We partly follow and generalize the approach of [14] and we adapt the splitting off method (which worked well on edge-connectivity augmentation problems) to vertex-connectivity. A key point in our proofs, which may also find applications elsewhere, is a new tripartite submodular inequality for the sizes of neighbour-sets in a graph." @default.
- W1520479211 created "2016-06-24" @default.
- W1520479211 creator A5057368133 @default.
- W1520479211 creator A5059315194 @default.
- W1520479211 date "2000-01-01" @default.
- W1520479211 modified "2023-09-25" @default.
- W1520479211 title "A Near Optimal Algorithm for Vertex Connectivity Augmentation" @default.
- W1520479211 cites W1515915709 @default.
- W1520479211 cites W1534791100 @default.
- W1520479211 cites W1543260365 @default.
- W1520479211 cites W1579870444 @default.
- W1520479211 cites W1988132050 @default.
- W1520479211 cites W1996575062 @default.
- W1520479211 cites W2018831729 @default.
- W1520479211 cites W2028334693 @default.
- W1520479211 cites W2028942728 @default.
- W1520479211 cites W2029687674 @default.
- W1520479211 cites W2038041864 @default.
- W1520479211 cites W2048815229 @default.
- W1520479211 cites W2067818080 @default.
- W1520479211 cites W2078960854 @default.
- W1520479211 cites W2102671623 @default.
- W1520479211 cites W4234462414 @default.
- W1520479211 cites W2049754879 @default.
- W1520479211 doi "https://doi.org/10.1007/3-540-40996-3_27" @default.
- W1520479211 hasPublicationYear "2000" @default.
- W1520479211 type Work @default.
- W1520479211 sameAs 1520479211 @default.
- W1520479211 citedByCount "20" @default.
- W1520479211 countsByYear W15204792112012 @default.
- W1520479211 countsByYear W15204792112015 @default.
- W1520479211 countsByYear W15204792112017 @default.
- W1520479211 countsByYear W15204792112019 @default.
- W1520479211 countsByYear W15204792112020 @default.
- W1520479211 crossrefType "book-chapter" @default.
- W1520479211 hasAuthorship W1520479211A5057368133 @default.
- W1520479211 hasAuthorship W1520479211A5059315194 @default.
- W1520479211 hasConcept C11413529 @default.
- W1520479211 hasConcept C132525143 @default.
- W1520479211 hasConcept C41008148 @default.
- W1520479211 hasConcept C80444323 @default.
- W1520479211 hasConcept C80899671 @default.
- W1520479211 hasConceptScore W1520479211C11413529 @default.
- W1520479211 hasConceptScore W1520479211C132525143 @default.
- W1520479211 hasConceptScore W1520479211C41008148 @default.
- W1520479211 hasConceptScore W1520479211C80444323 @default.
- W1520479211 hasConceptScore W1520479211C80899671 @default.
- W1520479211 hasLocation W15204792111 @default.
- W1520479211 hasOpenAccess W1520479211 @default.
- W1520479211 hasPrimaryLocation W15204792111 @default.
- W1520479211 hasRelatedWork W2012449939 @default.
- W1520479211 hasRelatedWork W2333698505 @default.
- W1520479211 hasRelatedWork W2337626054 @default.
- W1520479211 hasRelatedWork W2351491280 @default.
- W1520479211 hasRelatedWork W2371447506 @default.
- W1520479211 hasRelatedWork W2374500217 @default.
- W1520479211 hasRelatedWork W2386767533 @default.
- W1520479211 hasRelatedWork W2473307295 @default.
- W1520479211 hasRelatedWork W303980170 @default.
- W1520479211 hasRelatedWork W3153515118 @default.
- W1520479211 isParatext "false" @default.
- W1520479211 isRetracted "false" @default.
- W1520479211 magId "1520479211" @default.
- W1520479211 workType "book-chapter" @default.