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Summary: LSRP: Local Stabilization in Shortest Path Routing
Anish Arora Hongwei Zhang
Department of Computer and Information Science
The Ohio State University, USA
fanish, zhanghog@cis.ohiostate.edu
Abstract
We formulate a notion of local stabilization, by which
a system selfstabilizes in time proportional to the size of
any perturbation that changes the network topology or the
state of nodes. The notion implies that the part of the net
work involved in the stabilization includes at most the nodes
whose distance from the perturbed nodes is proportional
to the perturbation size. Also, we present LSRP, a proto
col for local stabilization in shortest path routing. LSRP
achieves local stabilization via two techniques. First, it lay
ers system computation into three diffusing waves with dif
ferent propagation speeds, i.e., ``stabilization wave'' with the
lowest speed, ``containment wave'' with intermediate speed,
and ``supercontainment wave'' with the highest speed. The
containment wave contains mistakenly initiated stabilization
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