(1 + eps)-Approximate Incremental Matching in Constant Deterministic Amortized Time

Fabrizio Grandoni, Stefano Leonardi, Piotr Sankowski, Chris Schwiegelshohn, Shay Solomon
2020 Zenodo  
We study the matching problem in the incremental setting, where we are given a sequence of edge insertions and aim at maintaining a near-maximum cardinality matching of the graph with small update time. We present a deterministic algorithm that, for any constant \(\varepsilon>0\), maintains a \((1+\varepsilon)\)-approximate matching with constant amortized update time per insertion.
doi:10.5281/zenodo.4586902 fatcat:fcgckh737nfypcoo3mh5u4rttm