Survey on Topological Methods in Distributed Computing
Rahman, Muntasir Raihan
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https://hdl.handle.net/2142/33762
Description
Title
Survey on Topological Methods in Distributed Computing
Author(s)
Rahman, Muntasir Raihan
Issue Date
2012-07-31
Keyword(s)
Distributed Computing
Combinatorial Topology
Algebraic Topology
Lower Bound and Impossibility Results
Abstract
One of the most exciting developments in the theory of distributed computing in
recent years has been the application of powerful concepts from topology to prove
results about computability in resilient distributed systems. Topology is a branch of
mathematics that deals with connectivity and convergence of certain types of objects.
As it turns out, the higher dimensional connectivity properties of these special objects are related to the solvability of certain distributed computing tasks. In this survey, we thoroughly investigate the topological approach to distributed computing, especially how to use techniques from combinatorial and algebraic topology to prove impossibility and lower bound results for important problems in distributed systems.
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