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Dynamic (1+ ϵ)-approximate matching size in truly sublinear update time
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 …
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
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 …
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 …
known to admit several update-time/approximation trade-offs. For instance, it is known how …
Fully dynamic matching:-approximation in polylog update time
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 …
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
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 …
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 …
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 …
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 …
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 …
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
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 …
algorithms for Maximum Bipartite Matching approximation. We show that every randomized …