Dynamic (1+ ϵ)-approximate matching size in truly sublinear update time

S Bhattacharya, P Kiss… - 2023 IEEE 64th Annual …, 2023 - ieeexplore.ieee.org
We show a fully dynamic algorithm for maintaining (1+ϵ)-approximate size of maximum
matching of the graph with n vertices and m edges using m^0.5-ϵ(1) update time. This is the …

Dynamic matching with better-than-2 approximation in polylogarithmic update time

S Bhattacharya, P Kiss, T Saranurak, D Wajc - Journal of the ACM, 2024 - dl.acm.org
We present dynamic algorithms with polylogarithmic update time for estimating the size of
the maximum matching of a graph undergoing edge insertions and deletions with …

Dynamic algorithms for maximum matching size

S Behnezhad - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
We study fully dynamic algorithms for maximum matching. This is a well-studied problem,
known to admit several update-time/approximation trade-offs. For instance, it is known how …

Fully dynamic matching:-approximation in polylog update time

A Azarmehr, S Behnezhad, M Roghani - Proceedings of the 2024 Annual ACM …, 2024 - SIAM
We study maximum matchings in fully dynamic graphs, which are graphs that undergo both
edge insertions and deletions. Our focus is on algorithms that estimate the size of maximum …

Hidden permutations to the rescue: Multi-pass streaming lower bounds for approximate matchings

S Assadi, J Sundaresan - 2023 IEEE 64th Annual Symposium …, 2023 - ieeexplore.ieee.org
We prove that any semi-streaming algorithm for (1+ε) approximation of maximum bipartite
matching requires Ω\left (\log (1/ε)\log (1/β)\right) passes, where β∈(0,1) is the largest …

A Simple (1 — ɛ)-Approximation Semi-Streaming Algorithm for Maximum (Weighted) Matching

S Assadi - 2024 Symposium on Simplicity in Algorithms (SOSA), 2024 - SIAM
We present a simple semi-streaming algorithm for (1—ɛ)-approximation of bipartite
matching in O (log (n)/ɛ) passes. This matches the performance of state-of-the-art “ɛ …

Recent advances in multi-pass graph streaming lower bounds

S Assadi - ACM SIGACT News, 2023 - dl.acm.org
Recent Advances in Multi-Pass Graph Streaming Lower Bounds Page 1 Recent Advances in
Multi-Pass Graph Streaming Lower Bounds Sepehr Assadi Cheriton School of Computer …

On approximate fully-dynamic matching and online matrix-vector multiplication

YP Liu - 2024 IEEE 65th Annual Symposium on Foundations of …, 2024 - ieeexplore.ieee.org
We study connections between the problem of fully dynamic (1-ϵ)-approximate maximum
bipartite matching, and the dual (1+ϵ)-approximate vertex cover problem, with the online …

Fully dynamic matching and ordered ruzsa-szemerédi graphs

S Behnezhad, A Ghafari - 2024 IEEE 65th Annual Symposium …, 2024 - ieeexplore.ieee.org
We study the fully dynamic maximum matching problem. In this problem, the goal is to
efficiently maintain an approximate maximum matching of a graph that is subject to edge …

An unconditional lower bound for two-pass streaming algorithms for maximum matching approximation

C Konrad, KK Naidu - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
In this paper, we give the first unconditional space lower bound for two-pass streaming
algorithms for Maximum Bipartite Matching approximation. We show that every randomized …