A $(2+ε)$-Approximation for Maximum Weight Matching in the Semi-Streaming Model

Abstract: We present a simple deterministic single-pass $(2+\epsilon)$-approximation algorithm for the maximum weight matching problem in the semi-streaming model. This improves upon the currently best known approximation ratio of $(4+\epsilon)$. Our algorithm uses $O(n\log² n)$ bits of space for constant values of $\epsilon$. It relies on a variation of the local-ratio theorem, which may be of use for other algorithms in the semi-streaming model as well.