Near-optimal distributed degree+ 1 coloring
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 …
more efficient than previous ones. In particular, it allows us to tackle the (deg+ 1)-list-coloring …
Efficient randomized distributed coloring in CONGEST
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 …
studied problems in the area of distributed graph algorithms. We present a new randomized …
Overcoming congestion in distributed coloring
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 …
elements from a distributed sampling space. When used in the context of a recent Local …
Distributed symmetry breaking on power graphs via sparsification
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 …
problems, maximal independent sets (MIS) and ruling sets, in power graphs. We work in the …
Adjacency sketches in adversarial environments
M Naor, E Pekel - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
An adjacency sketching or implicit labeling scheme for a family F of graphs is a method that
defines for any n vertex G∈ F an assignment of labels to each vertex in G, so that the labels …
defines for any n vertex G∈ F an assignment of labels to each vertex in G, so that the labels …
Efficient CONGEST algorithms for the Lovász local lemma
We present a poly $\log\log n $ time randomized CONGEST algorithm for a natural class of
Lovasz Local Lemma (LLL) instances on constant degree graphs. This implies, among other …
Lovasz Local Lemma (LLL) instances on constant degree graphs. This implies, among other …
Superfast coloring in CONGEST via efficient color sampling
MM Halldórsson, A Nolin - Theoretical Computer Science, 2023 - Elsevier
We present a procedure for efficiently sampling colors in the CONGEST model. It allows
nodes whose number of colors exceeds their number of neighbors by a constant fraction to …
nodes whose number of colors exceeds their number of neighbors by a constant fraction to …
Fast coloring despite congested relays
We provide a $ O (\log^ 6\log n) $-round randomized algorithm for distance-2 coloring in
CONGEST with $\Delta^ 2+ 1$ colors. For $\Delta\gg\operatorname {poly}\log n $, this …
CONGEST with $\Delta^ 2+ 1$ colors. For $\Delta\gg\operatorname {poly}\log n $, this …
Decentralized distributed graph coloring II: degree+ 1-coloring virtual graphs
Graph coloring is fundamental to distributed computing. We give the first general treatment
of the coloring of virtual graphs, where the graph $ H $ to be colored is locally embedded …
of the coloring of virtual graphs, where the graph $ H $ to be colored is locally embedded …
Decentralized Distributed Graph Coloring: Cluster Graphs
Graph coloring is fundamental to distributed computing. We give an ultrafast distributed
algorithm for coloring cluster graphs. These graphs are obtained from the underlying …
algorithm for coloring cluster graphs. These graphs are obtained from the underlying …