Sublinear time and space algorithms for correlation clustering via sparse-dense decompositions

S Assadi, C Wang - arXiv preprint arXiv:2109.14528, 2021 - arxiv.org
We present a new approach for solving (minimum disagreement) correlation clustering that
results in sublinear algorithms with highly efficient time and space complexity for this …

Near-optimal distributed degree+ 1 coloring

MM Halldórsson, F Kuhn, A Nolin… - Proceedings of the 54th …, 2022 - dl.acm.org
We present a new approach to randomized distributed graph coloring that is simpler and
more efficient than previous ones. In particular, it allows us to tackle the (deg+ 1)-list-coloring …

Adversarially robust coloring for graph streams

A Chakrabarti, P Ghosh, M Stoeckl - arXiv preprint arXiv:2109.11130, 2021 - arxiv.org
A streaming algorithm is considered to be adversarially robust if it provides correct outputs
with high probability even when the stream updates are chosen by an adversary who may …

Brooks' theorem in graph streams: a single-pass semi-streaming algorithm for∆-coloring

S Assadi, P Kumar, P Mittal - Proceedings of the 54th Annual ACM …, 2022 - dl.acm.org
Every graph with maximum degree Δ can be colored with (Δ+ 1) colors using a simple
greedy algorithm. Remarkably, recent work has shown that one can find such a coloring …

Efficient randomized distributed coloring in CONGEST

MM Halldórsson, F Kuhn, Y Maus… - Proceedings of the 53rd …, 2021 - dl.acm.org
Distributed vertex coloring is one of the classic problems and probably also the most widely
studied problems in the area of distributed graph algorithms. We present a new randomized …

Coloring in graph streams via deterministic and adversarially robust algorithms

S Assadi, A Chakrabarti, P Ghosh… - Proceedings of the 42nd …, 2023 - dl.acm.org
Graph coloring is a fundamental problem with wide reaching applications in various areas
including ata mining and databases, eg, in parallel query optimization. In recent years, there …

Overcoming congestion in distributed coloring

MM Halldórsson, A Nolin, T Tonoyan - … of the 2022 ACM Symposium on …, 2022 - dl.acm.org
We present a new technique to efficiently sample and communicate a large number of
elements from a distributed sampling space. When used in the context of a recent Local …

Distributed symmetry breaking on power graphs via sparsification

Y Maus, S Peltonen, J Uitto - Proceedings of the 2023 ACM Symposium …, 2023 - dl.acm.org
In this paper we present efficient distributed algorithms for classical symmetry breaking
problems, maximal independent sets (MIS) and ruling sets, in power graphs. We work in the …

Thresholds for Latin squares and Steiner triple systems: Bounds within a logarithmic factor

DY Kang, T Kelly, D Kühn, A Methuku… - Transactions of the …, 2023 - ams.org
We prove that for $ n\in\mathbb N $ and an absolute constant $ C $, if $ p\geq C\log^ 2 n/n $
and $ L_ {i, j}\subseteq [n] $ is a random subset of $[n] $ where each $ k\in [n] $ is included …

A distributed palette sparsification theorem

M Flin, M Ghaffari, MM Halldórsson, F Kuhn… - Proceedings of the 2024 …, 2024 - SIAM
The celebrated palette sparsification result of [Assadi, Chen, and Khanna SODA'19] shows
that to compute a Δ+ 1 coloring of the graph, where Δ denotes the maximum degree, it …