Symmetry breaking in distributed networks

Symmetry breaking in distributed networks

Given a ring of n processors it is required to design the processors such that they will be able to choose a leader (a uniquely designated processor) by sending messages along the ring. If the processors are indistinguishable then there exists no deterministic algorithm to solve the problem. To overcome this difficulty, probabilistic algorithms are proposed. The algorithms may run forever but t...

Distributed Symmetry Breaking in Hypergraphs

Fundamental local symmetry breaking problems such as Maximal Independent Set (MIS) and coloring have been recognized as important by the community, and studied extensively in (standard) graphs. In particular, fast (i.e., logarithmic run time) randomized algorithms are well-established for MIS and ∆ + 1-coloring in both the LOCAL and CONGEST distributed computing models. On the other hand, compa...

Synchronization and symmetry breaking in distributed systems

An emerging characteristic of modern computer systems is that it is becoming ever more frequent that the amount of communication involved in a solution to a given problem is the determining cost factor. In other words, the convenient abstraction of a random access memory machine performing sequential operations does not adequately reflect reality anymore. Rather, a multitude of spatially separa...

236825: Distributed Algorithms for Symmetry Breaking

Distributed Symmetry-Breaking Algorithms for Congested Cliques

The Congested Clique is a distributed-computing model for single-hop networks with restricted bandwidth that has been very intensively studied recently. It models a network by an n-vertex graph in which any pair of vertices can communicate one with another by transmitting O(log n) bits in each round. Various problems have been studied in this setting, but for some of them the best-known results...