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Link Reversal Algorithms (Paperback)
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Link Reversal Algorithms (Paperback)
Series: Synthesis Lectures on Distributed Computing Theory
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Link reversal is a versatile algorithm design technique that has
been used in numerous distributed algorithms for a variety of
problems. The common thread in these algorithms is that the
distributed system is viewed as a graph, with vertices representing
the computing nodes and edges representing some other feature of
the system (for instance, point-to-point communication channels or
a conflict relationship). Each algorithm assigns a virtual
direction to the edges of the graph, producing a directed version
of the original graph. As the algorithm proceeds, the virtual
directions of some of the links in the graph change in order to
accomplish some algorithm-specific goal. The criterion for changing
link directions is based on information that is local to a node
(such as the node having no outgoing links) and thus this approach
scales well, a feature that is desirable for distributed
algorithms. This monograph presents, in a tutorial way, a
representative sampling of the work on link-reversal-based
distributed algorithms. The algorithms considered solve routing,
leader election, mutual exclusion, distributed queueing,
scheduling, and resource allocation. The algorithms can be roughly
divided into two types, those that assume a more abstract graph
model of the networks, and those that take into account more
realistic details of the system. In particular, these more
realistic details include the communication between nodes, which
may be through asynchronous message passing, and possible changes
in the graph, for instance, due to movement of the nodes. We have
not attempted to provide a comprehensive survey of all the
literature on these topics. Instead, we have focused in depth on a
smaller number of fundamental papers, whose common thread is that
link reversal provides a way for nodes in the system to observe
their local neighborhoods, take only local actions, and yet cause
global problems to be solved. We conjecture that future interesting
uses of link reversal are yet to be discovered. Table of Contents:
Introduction / Routing in a Graph: Correctness / Routing in a
Graph: Complexity / Routing and Leader Election in a Distributed
System / Mutual Exclusion in a Distributed System / Distributed
Queueing / Scheduling in a Graph / Resource Allocation in a
Distributed System / Conclusion
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