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20232026
most citedSublogarithmic Distributed Vertex Coloring with Optimal Number of Colors

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cs.DC2026

2-Coloring Cycles in One Round

Maxime Flin, Alesya Raevskaya, Ronja Stimpert +2

We show that there is a one-round randomized distributed algorithm that can 2-color cycles such that the expected fraction of monochromatic edges is less than 0.24118. We also show…

cs.DC2025

When MIS and Maximal Matching are Easy in the Congested Clique

Keren Censor-Hillel, Tomer Even, Maxime Flin +1

Two of the most fundamental distributed symmetry-breaking problems are that of finding a maximal independent set (MIS) and a maximal matching (MM) in a graph. It is a major open qu…

cs.DC2024

Decentralized Distributed Graph Coloring II: degree+1-Coloring Virtual Graphs

Maxime Flin, Magnús M. Halldórsson, Alexandre Nolin

Graph coloring is fundamental to distributed computing. We give the first general treatment of the coloring of virtual graphs, where the graph to be colored is locally embedded…

cs.DC2024

Decentralized Distributed Graph Coloring: Cluster Graphs

Maxime Flin, Magnus M. Halldorsson, Alexandre Nolin

Graph coloring is fundamental to distributed computing. We give the first sub-logarithmic distributed algorithm for coloring cluster graphs. These graphs are obtained from the unde…

cs.DC2023

Coloring Fast with Broadcasts

Maxime Flin, Mohsen Ghaffari, Magnús M. Halldórsson +2

We present an -round distributed algorithm for the -coloring problem, where each node broadcasts only one -bit message per round to its neighbors…

cs.DC2023

A Distributed Palette Sparsification Theorem

Maxime Flin, Mohsen Ghaffari, Magnús M. Halldórsson +2

The celebrated palette sparsification result of [Assadi, Chen, and Khanna SODA'19] shows that to compute a coloring of the graph, where denotes the maximum degree, it suf…