We settle the complexity of the (Δ + 1)-coloring and (Δ + 1)-list coloring problems in the CONGESTED CLIQUE model by presenting a simple deterministic algorithm for both problems running in a constant number of rounds. This matches the complexity of the ...

We present improved algorithms for approximating maximum-weight independent set (MaxIS) in the CONGEST model. Given an input graph, let n and Δ be the number of nodes and maximum degree, respectively, and let MIS(n, Δ) be the running time of finding a ...

Population protocols are a model of distributed computing, where n agents with limited computational power and memory perform randomly scheduled pairwise interactions. Recently, a significant amount of work has been devoted to the study of the time and ...

The asynchronous rumor spreading algorithm propagates a piece of information, the so-called rumor, in a network. Starting with a single informed node, each node is associated with an exponential time clock with rate 1 and calls a random neighbor in ...

The HYBRID model, introduced in [Augustine et al., SODA '20], provides a theoretical foundation for networks that allow multiple communication modes. The model follows the principles of synchronous message passing, whereas nodes are allowed to use two ...

With the rise of dynamic reconfigurable networks such as Peer-to-Peer (P2P) networks, overlay networks, ad hoc wireless and mesh networks, it has become important to construct and maintain topologies with various desirable properties (such as ...

One of the classical line of work in graph algorithms has been the Replacement Path Problem: given a graph G, s and t, find shortest paths from s to t avoiding each edge e on the shortest path from s to t. These paths are called replacement paths in ...

King and Saia were the first to break the quadratic word complexity bound for Byzantine Agreement in synchronous systems against an adaptive adversary, and Algorand broke this bound with near-optimal resilience (first in the synchronous model and then ...

We give efficient randomized and deterministic distributed algorithms for computing a distance-2 vertex coloring of a graph G in the CONGEST model. In particular, if Δ is the maximum degree of G, we show that there is a randomized CONGEST model ...