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(Almost) Perfect Discrete Iterative Load Balancing
Petra Berenbrink, Robert Elsässer, Tom Friedetzky +4
We consider discrete, iterative load balancing via matchings on arbitrary graphs. Initially each node holds a certain number of tokens, defining the load of the node, and the objec…
Balls and Bins and the Infinite Process with Random Deletions
Petra Berenbrink, Tom Friedetzky, Peter Kling +1
We consider an infinite balls-into-bins process with deletions where in each discrete step a coin is tossed as to whether, with probability , a new ball is allo…
A Space-Time Trade-off for Fast Self-Stabilizing Leader Election in Population Protocols
Henry Austin, Petra Berenbrink, Tom Friedetzky +2
We consider the problem of self-stabilizing leader election in the population model by Angluin, Aspnes, Diamadi, Fischer, and Peralta (JDistComp '06). The population model is a wel…
Simple Load Balancing
Petra Berenbrink, Tom Friedetzky, Dominik Kaaser +1
We consider the following load balancing process for tokens distributed arbitrarily among nodes connected by a complete graph: In each time step a pair of nodes is selected…
A population protocol for exact majority with stabilization time and asymptotically optimal number of states
Petra Berenbrink, Robert Elsässer, Tom Friedetzky +3
A population protocol can be viewed as a sequence of pairwise interactions of agents (nodes). During one interaction, two agents selected uniformly at random update their state…
Time-space Trade-offs in Population Protocols for the Majority Problem
Petra Berenbrink, Robert Elsässer, Tom Friedetzky +3
Population protocols are a model for distributed computing that is focused on simplicity and robustness. A system of identical agents (finite state machines) performs a global…