We establish an optimal upper bound (negative result) of $\sim 0.526$ on the competitive ratio of the fractional version of online bipartite matching with two-sided vertex arrivals, matching the lower bound (positive result) achieved by Wang and Wong (ICALP 2015), and Tang and Zhang (EC 2024).
翻译:我们针对顶点双边到达的在线二分图匹配分数版本,建立了竞争比的最优上界(负面结果)为 $\sim 0.526$,该结果与 Wang 和 Wong(ICALP 2015)以及 Tang 和 Zhang(EC 2024)所达成的下界(正面结果)相匹配。