An O(log(n)) Fully Dynamic Algorithm for Maximum matching in a tree

dc.creatorGupta, Manoj
dc.creatorSharma, Ankit
dc.date2009-01-19
dc.date.accessioned2026-07-07T12:31:39Z
dc.date.available2026-07-07T12:31:39Z
dc.descriptionIn this paper, we have developed a fully-dynamic algorithm for maintaining cardinality of maximum-matching in a tree using the construction of top-trees. The time complexities are as follows: 1. Initialization Time: $O(n(log(n)))$ to build the Top-tree. 2. Update Time: $O(log(n))$ 3. Query Time: O(1) to query the cardinality of maximum-matching and $O(log(n))$ to find if a particular edge is matched.
dc.identifierhttps://arxiv.org/abs/0901.2900
dc.identifierhttp://arxiv.org/abs/0901.2900
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216517
dc.subjectData Structures and Algorithms
dc.titleAn O(log(n)) Fully Dynamic Algorithm for Maximum matching in a tree
dc.typetext

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