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arXiv · 0901.2900

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

Manoj Gupta·Ankit Sharma
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Abstract

In 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.

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Manoj Gupta, Ankit Sharma. 2009-01-19. An O(log(n)) Fully Dynamic Algorithm for Maximum matching in a tree. https://arxiv.org/abs/0901.2900

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