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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …