Fully dynamic maximal independent set with polylogarithmic update time

S Behnezhad, M Derakhshan… - 2019 IEEE 60th …, 2019 - ieeexplore.ieee.org
We present the first algorithm for maintaining a maximal independent set (MIS) of a fully
dynamic graph-which undergoes both edge insertions and deletions-in polylogarithmic time …

Rounding dynamic matchings against an adaptive adversary

D Wajc - Proceedings of the 52nd Annual ACM SIGACT …, 2020 - dl.acm.org
We present a new dynamic matching sparsification scheme. From this scheme we derive a
framework for dynamically rounding fractional matchings against adaptive adversaries …

Deterministic fully dynamic data structures for vertex cover and matching

S Bhattacharya, M Henzinger, GF Italiano - SIAM Journal on Computing, 2018 - SIAM
We present the first deterministic data structures for maintaining approximate minimum
vertex cover and maximum matching in a fully dynamic graph G=(V,E), with |V|=n and |E|=m …

A deamortization approach for dynamic spanner and dynamic maximal matching

A Bernstein, S Forster, M Henzinger - ACM Transactions on Algorithms …, 2021 - dl.acm.org
Many dynamic graph algorithms have an amortized update time, rather than a stronger worst-
case guarantee. But amortized data structures are not suitable for real-time systems, where …

Dynamic algorithms for packing-covering lps via multiplicative weight updates

S Bhattacharya, P Kiss, T Saranurak - Proceedings of the 2023 Annual ACM …, 2023 - SIAM
In the dynamic linear program (LP) problem, we are given an LP undergoing updates and
we need to maintain an approximately optimal solution. Recently, significant attention (eg …

Adaptive -Hop Connected Dominating Set in Highly Dynamic Flying Ad-Hoc Networks

B Wang, Y Sun, T Do-Duy… - … on Network Science …, 2021 - ieeexplore.ieee.org
By exploring the intelligent cooperation of unmanned aerial vehicle (UAV) swarms, the
formed flying ad-hoc networks (FANETs) can support a variety of collaborative operations …

Fully dynamic maximal independent set with sublinear update time

S Assadi, K Onak, B Schieber, S Solomon - Proceedings of the 50th …, 2018 - dl.acm.org
A maximal independent set (MIS) can be maintained in an evolving m-edge graph by simply
recomputing it from scratch in O (m) time after each update. But can it be maintained in time …

Efficient and stable fully dynamic facility location

S Bhattacharya, S Lattanzi… - Advances in neural …, 2022 - proceedings.neurips.cc
We consider the classic facility location problem in fully dynamic data streams, where
elements can be both inserted and deleted. In this problem, one is interested in maintaining …

Deterministic rounding of dynamic fractional matchings

S Bhattacharya, P Kiss - arXiv preprint arXiv:2105.01615, 2021 - arxiv.org
We present a framework for deterministically rounding a dynamic fractional matching.
Applying our framework in a black-box manner on top of existing fractional matching …

Online Bipartite Matching with Amortized O(log 2 n) Replacements

A Bernstein, J Holm, E Rotenberg - Journal of the ACM (JACM), 2019 - dl.acm.org
In the online bipartite matching problem with replacements, all the vertices on one side of
the bipartition are given, and the vertices on the other side arrive one-by-one with all their …