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 …

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 …

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 …

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 …

[PDF][PDF] Dynamic (1+\epsilon): approximate matching size in truly sublinear update time

S Bhattacharya, P Kiss… - Annual Symposium on …, 2023 - wrap.warwick.ac.uk
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 m0. 5− Ωϵ (1) update time. This is …

Streaming edge coloring with asymptotically optimal colors

M Saneian, S Behnezhad - 51st International Colloquium on …, 2024 - drops.dagstuhl.de
Given a graph G, an edge-coloring is an assignment of colors to edges of G such that any
two edges sharing an endpoint receive different colors. By Vizing's celebrated theorem, any …

Streaming edge coloring with asymptotically optimal colors

S Behnezhad, M Saneian - arxiv preprint arxiv:2305.01714, 2023 - arxiv.org
Given a graph $ G $, an edge-coloring is an assignment of colors to edges of $ G $ such that
any two edges sharing an endpoint receive different colors. By Vizing's celebrated theorem …

Dynamic maxflow via dynamic interior point methods

J van den Brand, YP Liu, A Sidford - Proceedings of the 55th Annual …, 2023 - dl.acm.org
In this paper we provide an algorithm for maintaining a (1− є)-approximate maximum flow in
a dynamic, capacitated graph undergoing edge insertions. Over a sequence of m insertions …

[PDF][PDF] Near-optimal dynamic rounding of fractional matchings in bipartite graphs

S Bhattacharya, P Kiss, A Sidford, D Wajc - Proceedings of the 56th …, 2024 - dl.acm.org
We study dynamic (1− є)-approximate rounding of fractional matchings—a key ingredient in
numerous breakthroughs in the dynamic graph algorithms literature. Our first contribution is …