Reduction from OuMv to Bipartite Graph MCM

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Revision as of 11:19, 15 February 2023 by Admin (talk | contribs) (Created page with "FROM: OuMv TO: Bipartite Graph MCM == Description == == Implications == assume: OMv<br/>then: there is no algorithm for solving incremental (or decremental) maximum cardinality bipartite matching with amortized time $O(n^{1-\epsilon})$ per insertion (or deletion) and $O(n^{2-\epsilon})$ time per query for any $\epsilon > {0}$ == Year == 2016 == Reference == Dahlgaard, S. (2016). On the hardness of partially dynamic graph problems and connections to d...")
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FROM: OuMv TO: Bipartite Graph MCM

Description

Implications

assume: OMv
then: there is no algorithm for solving incremental (or decremental) maximum cardinality bipartite matching with amortized time $O(n^{1-\epsilon})$ per insertion (or deletion) and $O(n^{2-\epsilon})$ time per query for any $\epsilon > {0}$

Year

2016

Reference

Dahlgaard, S. (2016). On the hardness of partially dynamic graph problems and connections to diameter. arXiv preprint arXiv:1602.06705.

https://arxiv.org/abs/1602.06705