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Approximating maximum matching requires almost quadratic time

Joint Math/CS Theory

Speaker: Mohammad Roghani, Google Research
Location: 1131 Kemper
Start time: Mon, Mar 9 2026, 1:10PM

Description

Linear-time complexity has traditionally defined the limits of algorithmic efficiency. But is it possible to break this barrier and achieve sublinear runtimes? In this talk, I explore the lower bounds of estimating maximum matching sizes. I will highlight a recent technique demonstrating that, for certain approximation ratios, achieving such estimates requires super-linear time relative to the number of nodes.

Based on joint works with Soheil Behnezhad and Aviad Rubinstein.