A time and space optimal stable population protocol solving exact majority

D Doty, M Eftekhari, L Gąsieniec… - 2021 IEEE 62nd …, 2022 - ieeexplore.ieee.org
We study population protocols, a model of distributed computing appropriate for modeling
well-mixed chemical reaction networks and other physical systems where agents exchange …

Enhanced phase clocks, population protocols, and fast space optimal leader election

L Gąsieniec, G Stachowiak - Journal of the ACM (JACM), 2020 - dl.acm.org
The model of population protocols refers to the growing in popularity theoretical framework
suitable for studying pairwise interactions within a large collection of simple …

Population Protocols for Exact Plurality Consensus: How a small chance of failure helps to eliminate insignificant opinions

G Bankhamer, P Berenbrink, F Biermeier… - Proceedings of the …, 2022 - dl.acm.org
We consider the plurality consensus problem for population protocols. Here, n anonymous
agents start each with one of k opinions. Their goal is to agree on the initially most frequent …

A survey of size counting in population protocols

D Doty, M Eftekhari - Theoretical Computer Science, 2021 - Elsevier
The population protocol model describes a network of n anonymous agents who cannot
control with whom they interact. The agents collectively solve a computational problem …

Fast convergence of k-opinion undecided state dynamics in the population protocol model

T Amir, J Aspnes, P Berenbrink, F Biermeier… - Proceedings of the …, 2023 - dl.acm.org
We analyze the convergence of the k-opinion Undecided State Dynamics (USD) in the
population protocol model. For k= 2 opinions it is well known that the USD reaches …

Simulating population protocols in sub-constant time per interaction

P Berenbrink, D Hammer, D Kaaser, U Meyer… - arXiv preprint arXiv …, 2020 - arxiv.org
We consider the problem of efficiently simulating population protocols. In the population
model, we are given a distributed system of $ n $ agents modeled as identical finite-state …

Loosely-stabilizing phase clocks and the adaptive majority problem

P Berenbrink, F Biermeier, C Hahn… - arXiv preprint arXiv …, 2021 - arxiv.org
We present a loosely-stabilizing phase clock for population protocols. In the population
model we are given a system of $ n $ identical agents which interact in a sequence of …

Fast Consensus via the Unconstrained Undecided State Dynamics∗

G Bankhamer, P Berenbrink, F Biermeier… - Proceedings of the 2022 …, 2022 - SIAM
We consider the plurality consensus problem for n agents. Initially, each agent has one of k
opinions. Agents choose random interaction partners and revise their state according to a …

Dynamic size counting in population protocols

D Doty, M Eftekhari - arXiv preprint arXiv:2202.12864, 2022 - arxiv.org
The population protocol model describes a network of anonymous agents that interact
asynchronously in pairs chosen at random. Each agent starts in the same initial state $ s …

Distributed computation with continual population growth

DJ Cho, M Függer, C Hopper, M Kushwaha… - Distributed …, 2022 - Springer
Computing via synthetically engineered bacteria is a vibrant and active field with numerous
applications in bio-production, bio-sensing, and medicine. Motivated by the lack of …