A Population Protocol for Uniform k-partition under Global Fairness

Hiroto Yasumi, Naoki Kitamura, Fukuhito Ooshita, Taisuke Izumi, Michiko Inoue
2019 International Journal of Networking and Computing  
In this paper, we consider a uniform k-partition problem in a population protocol model. The uniform k-partition problem divides a population into k groups of the same size. For this problem, we give a symmetric protocol with designated initial states under global fairness. The proposed protocol requires 3k − 2 states for each agent. Since any protocol for the uniform kpartition problem requires Ω(k) states to indicate a group, the space complexity of the proposed protocol is asymptotically optimal.
doi:10.15803/ijnc.9.1_97 fatcat:eyhqdnu5tjctdpox5ygiiteori